Abstract:
A device for the purpose of applying cosmetic product which can be made to shear cosmetic product held within its chamber prior to loading a portion of cosmetic product evenly onto the applicator head by way of separating the detachable container from the handle. After separation, the direction of the rotation motion is chosen and the device is activated. Once activated, the drive mechanism converts rotation motion into a reciprocating rotation motion thereby enabling the applicator head to simultaneously travel back and forth and rotate for purposes of applying cosmetic product. The applicator head via transfer vibration can be vibrated along or in conjunction with the reciprocation rotating motion for purposes of apply cosmetic product.

Description:
This application claims priority in-part to the U.S. Provisional No. 61/845,376 Filed on Jul. 12, 2013. 
    
    
     FIELD OF THE INVENTION 
     The present invention relates to a device not limited to the application of a cosmetic product, such as mascara to the eyelashes. However and more particularly, the present invention relates to a reciprocating, rotating, vibrating, bidirectional applicator in which the applicator head to touch the face is electrically driven. The present invention also provides for a vibration only means of the applicator head. 
     BACKGROUND OF THE INVENTION 
     Many devices such as the rotary mascara applicator; the vibrating mascara applicator; the vibratable and reversibly rotatable mascara applicator; and the reciprocating rotating vibrating bidirectional mascara applicator have been developed that provide a means to apply cosmetic product, such as mascara to eyelashes. However, none provide the advanced mechanical means for the applicator head to simultaneously reciprocate, bidirectionally rotate and vibrate for purposes of applying cosmetic product, such as mascara to the eyelashes as the present invention. 
     SUMMARY OF THE INVENTION 
     In view of the foregoing disadvantages inherent in the known prior art, the present invention provides a new reciprocating, rotating, vibrating, bidirectional electric applicator in which the applicator head simultaneously reciprocates, rotates and vibrates for purposes of applying cosmetic product to the face including mascara to the eyelashes eliminating the need to manually rotate and move in a back and forth direction the applicator head of a vibrating applicator; and eliminating the need to manually move in a back and forth direction the applicator head of the vibrating and rotating applicator; and eliminating the need to manually move in a back and forth direction the applicator head of the rotary mascara applicator when applying mascara to the eyelashes. 
     This new reciprocating, rotating, vibrating, bidirectional electric applicator is characterized in that it comprises a means for loading mascara evenly onto an applicator head; a means for choosing when to activate and deactivate the device; a means for rotation; a means for choosing the direction of the rotation; a means for converting a rotation motion into a reciprocating rotating motion enabling the applicator head to simultaneously travel back and forth and rotate for the purposes of applying cosmetic product to the face including mascara to the eyelashes; a means for vibration of an applicator head in conjunction with the reciprocating rotating motion for purposes of applying cosmetic product to the face including mascara to the eyelashes; and a means for vibration of an applicator head alone for purposes of applying cosmetic product to the face including mascara to the eyelashes. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       For the sake of illustration the preferred features of the invention will now be described with reference to the following figures in which: 
         FIG. 1  is a cross-sectional view illustrating the present embodiment of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator; 
         FIG. 2  is a cross-sectional view illustrating a handle portion of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 3  is an enlarged cross-sectional view illustrating a detachable container portion of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 4  is a cross-sectional view illustrating an open drive mechanism compartment within the handle housing of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 5  is a top perspective schematic view illustrating the drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 6  is a side view illustrating the very beginning of the forward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 7  is a side view illustrating the half-way position of the forward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 8  is a side view illustrating the very end of the forward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 9  is a side view illustrating the very beginning of the backward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 10  is a side view illustrating the half-way backward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 11  is a side view illustrating the very end of the backward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 12  is a top perspective schematic view illustrating the attachment of one end of the rotatable shaft to the closed-end of the mating female slidable oblong multipurpose component of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 13  is an enlarged cross-sectional view illustrating the points of contact of the vibrational means elements with the rotatable shaft of the handle portion of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 14  is a cross-sectional view illustrating an applicator head affixed to a rotatable shaft of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 15  is a cross-sectional view illustrating an alternative embodiment in which the Push-On/Push-Off switch, the disk coin-type vibration motor and the transfer head are taken out from the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 16  is a cross-sectional view illustrating an alternative embodiment in which the Push-On/Push-Off switch is removed from the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 17  is an enlarged cross-sectional view illustrating the applicator head and rotatable shaft disengaged locking mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 18  is an enlarged cross-sectional view illustrating the applicator head and rotatable shaft engaged locking mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 19  is an enlarged cross-sectional view illustrating a stem and rotatable shaft disengaged locking mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 20  is an enlarged cross-sectional view illustrating a stem and rotatable shaft engaged locking mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 21  is a top perspective cut-away schematic view illustrating a portion of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 22  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating a two-stroke looping cam groove track profile of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 23  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating a four-stroke looping cam groove track profile of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 24  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating a six-stroke looping cam groove track profile of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 25  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating an eight-stroke looping cam groove track profile of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 26  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating a four-stroke looping cam groove track profile having length segment variations of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 27  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating a six-stroke looping cam groove track profile having length segment variations of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 28  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating an eight-stroke looping cam groove track profile having length segment variations of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 29  is a 360° flat elongated surface diagram of the elongated surface of the mating female slidable oblong multipurpose component illustrating an eight-stroke looping cam groove track profile having other length segment variations of a drive mechanism of the reciprocating, rotating, vibrating, bidirectional electric cosmetic applicator shown in  FIG. 1 ; 
         FIG. 30  is a side view illustrating the very beginning of the forward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, bidirectional electric cosmetic applicator shown in  FIG. 15 ; 
         FIG. 31  is a side view illustrating the half-way position of the forward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, bidirectional electric cosmetic applicator shown in  FIG. 15 ; 
         FIG. 32  is a side view illustrating the very end of the forward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, bidirectional electric cosmetic applicator shown in  FIG. 15 ; 
         FIG. 33  is a side view illustrating the very beginning of the backward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, bidirectional electric cosmetic applicator shown in  FIG. 15 ; 
         FIG. 34  is a side view illustrating the half-way backward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, bidirectional electric cosmetic applicator shown in  FIG. 15 ; 
         FIG. 35  is a side view illustrating the very end of the backward stroke of the reciprocating cycle of a two-stroke looping cam groove track profile of the reciprocating, rotating, bidirectional electric cosmetic applicator shown in  FIG. 15 . 
     
    
    
     DETAILED DESCRIPTION OF PREFERRED EMBODIMENTS 
       FIG. 1  shows a Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 . The Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  comprises handle  12 , as shown in  FIGS. 1 and 2  and detachable container  14 , as shown in  FIGS. 1 and 3 . Handle  12 , as shown in  FIG. 1  comprises housing  16 ; a battery compartment  18  formed within housing  16  houses batteries  20 , which can be any kind of Alkaline, Lithium or other suitable batteries, e.g. “AA” or “AAA”, as shown in  FIG. 15  or “Button Cell” type batteries, as shown in FIG. 1 ; a lid  22  which securely holds batteries  20  within battery compartment  18 ; and an open drive mechanism compartment  24  formed within housing  16 , as shown in  FIGS. 1 and 4 , having a circular opening  26 , as shown in  FIG. 4 . The boundary and form of the open drive mechanism compartment  24  having a circular opening  26  is illustrated in  FIG. 4 . 
     Handle  12  further comprises a drive mechanism  28 , as shown in  FIGS. 1, 2 , and  5  thru  11 . The drive mechanism  28  is partially contained within the open drive mechanism compartment  24 , as shown in  FIG. 1 . The drive mechanism  28 , as shown in  FIGS. 1, 2, and 5  thru  11  comprises a torque gear box motor  30  which includes a motor shaft  32  (In some embodiments, torque gear box motor  30  may be a three wire reversible 3V DC Torque Gear Box Motor.). The torque gear box motor  30  is embedded within the open drive mechanism compartment  24  formed within housing  16 , as shown in  FIG. 1 . 
     The drive mechanism  28  further comprises a mating male spline gear  34  carried on motor shaft  32 , as shown in  FIGS. 1, 2, and 5  thru  11  having a series of narrow keys (external splines)  36 , as shown in  FIG. 5 , formed longitudinally around the outer circumference of the mating male spline gear  34 ; an end  38 ; and an air flow shaft  40  and air flow shaft  42 . Air flow shafts  40  and  42  reduce compressed air resistance during operation. In some embodiments, the mating male spline gear  34  can be cut or shaped at the very end of motor shaft  32 . 
     The drive mechanism  28  still further comprises a mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 1, 2 and 5  thru  11 , having a series of corresponding grooves (internal splines)  46 , as shown in  FIG. 5 , formed longitudinally around the inner circumference of the mating female slidable oblong multipurpose component  44  for slidable mating with the series of narrow keys (external splines)  36  of the mating male spline gear  34 ; and an elongated surface  48 , as shown in  FIGS. 1, 2 and 5  thru  11 , on which a looping cam groove track  50  is embedded, as shown in  FIGS. 1, 2 and 5  thru  11 , having a defined profile that dictates the length, frequency and sequence of each stroke of the reciprocating cycle. The looping cam groove track  50  profile can vary in the length, frequency and the sequence of each stroke of the reciprocating cycle, as shown in  FIGS. 22  thru  29 . 
     The mating female slidable oblong multipurpose component  44  of the drive mechanism  28  further comprises an air passageway  52  and air passageway  54  located in the elongated surface  48  near the closed end of the mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 1, 2, 5, 6 and 11  providing for the passage of air movement created by the reciprocating and rotating interaction of the mating female slidable oblong multipurpose component  44  and the rotating mating male spline gear  34  during operation. The drive mechanism  28  still further comprises a rotatable shaft  56  of sufficient length, as shown in  FIGS. 1, 2 and 5  thru  12 , having a first end  58  centrally affixed to closed end  60  of the mating female slidable oblong multipurpose component  44 , as shown in  FIG. 12 , and a second end  62 , as shown in  FIGS. 1, 2 and 5  thru  12 ; a bushing  64 , as shown in  FIGS. 1, 2 and 5  thru  12  of sufficient length secured within the open drive mechanism compartment  24  of housing  16 , as shown in  FIGS. 1 and 2 , which freely supports the rotatable shaft  56  when at rest or when the rotatable shaft  56  is driven to simultaneously rotate clockwise or counterclockwise and reciprocate. The drive mechanism  28  further comprises a stationary cam follower  66 , as shown in  FIGS. 1, 2 and 5  thru  11 ; a disk coin-type vibration motor  68 , as shown in  FIGS. 1, 2 and 5  thru  11  and  13 , is illustrated as being embedded within housing  16  in  FIGS. 1, 2 and 13 ; a transfer head  70 , as shown in  FIG. 13 , whose base  508  is affixed to the tip of the disk coin-type vibration motor  68  and whose domed portion  72 , also shown in  FIG. 13 , rest snugly against the rotatable shaft  56 . 
     The open drive mechanism compartment  24  formed within housing  16  of handle  12  further comprises a cam follower seat  74  at a predetermined location, as shown in  FIG. 4 , which is directly in line with the looping cam groove track  50  of the mating female slidable oblong multipurpose component  44  so that after a predetermined portion of the stationary cam follower  66  is affixed into the cam follower seat  74  the remaining portion of the stationary cam follower  66  is freely received to slide within the looping cam groove track  50  of the mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 1 and 2 . In some embodiments, the stationary cam follower  66  can be included as part of the housing  16  casting thereby eliminating the need for a cam follower seat  74 . 
     Handle  12  still further comprises an affixable seal  76 , as shown in  FIG. 13 , that is affixed to housing  16  thereby sealing the space between the outer circumference of the rotatable shaft  56  and the inner circumference of circular opening  26 ; a connectable applicator head  78  having plurality of protrusions  80  spaced to define gaps during rotation, as shown in  FIGS. 1 and 14 , is affixed to the second end  62  of the rotatable shaft  56 ; an air flow shaft  82 , as shown in  FIGS. 1, 2 and 14 , provides a passageway for air to enter and exit the open drive mechanism compartment  24  during the operation of drive mechanism  28 ; an ON(L)-OFF(O)-ON(R) directional switch  84  having a switching, means  86 , as shown in  FIGS. 1 and 2 ; a Push-On/Push-Off switch  88 , as shown in  FIGS. 1 and 2 ; a gasket  90 , as shown in  FIGS. 1 and 2 ; and a matched inner helical ridge  92 , as shown in  FIG. 2 . 
     Batteries  20 , the Push-On/Push-Off switch  88  and switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  are electrically and operatively connected to torque gear box motor  30 , as shown in  FIG. 1 . In addition, batteries  20  and the Push-On/Push-Off switch  88  are also electrically and operatively connected to the disk coin-type vibration motor  68 , shown in  FIG. 1 . The switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  enables controlling the directional flow of the electrical current from batteries  20  to the torque gear box motor  30  when the Push-On/Push-Off switch  88  is in the ON position. As example, when switching means  86  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the flow of electrical current would result in the torque gear box motor  30  rotating motor shaft  32  in a clockwise direction and the disk coin-type vibration motor  68  to vibrate simultaneously; and when switching means  86  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the flow of electrical current would result in the torque gear box motor  30  rotating motor shaft  32  in a counterclockwise direction and the disk coin-type vibration motor  68  to vibrate simultaneously. Lastly, when switching means  86  is in the OFF(O) position and the Push-On/Push-Off switch  88  is in the ON position the disk coin-type vibration motor  68  will vibrate and the torque gear box motor  30  does not rotate motor shaft  32  in neither a clockwise or counterclockwise direction. Because the directional flow of the electrical current to the disk coin-type vibration motor  68  is reversible a disk coin-type vibration motor such as the Precision Microdrives 308-100 Pico Viben” 8 mm Shaftless/Coin Vibrator Motor which produces vibration regardless of the directional flow of the electrical current received is preferred. 
     In some embodiments, the Push-On/Push-Off switch  88 , the disk coin-type vibration motor  68 , the transfer head  70  and all related electrical connections are removed, as shown in  FIG. 15 . Thereby, in some embodiments, batteries  20  and the switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  are electrically and operatively connected to torque gear box motor  30 . The ON(L)-OFF(O)-ON(R) directional switch  84  enables controlling the directional flow of the electrical current from batteries  20  to the torque gear box motor  30 . More particularly, when switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  is in the ON(R) position the directional flow of electrical current would result in the torque gear box motor  30  rotating motor shaft  32  in a clockwise direction; when switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  is in the ON(L) position the directional flow of electrical current would result in the torque gear box motor  30  rotating motor shaft  32  in a counterclockwise direction; and lastly when switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  is in the OFF(O) position no flow of electrical current from batteries  20  exists. 
     In yet another embodiment, as shown in  FIG. 16 , batteries  20  and switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  are electrically and operatively connected to the torque gear box motor  30  and the disk coin-type vibration motor  68 . The ON(L)-OFF(O)-ON(R) directional switch  84  enables controlling the directional flow of the electrical current from batteries  20  to the torque gear box motor  30  and to the disk coin-type vibration motor  68 . More particularly, when switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  is in the ON(R) position the flow of electrical current would result in the torque gear box motor  30  rotating motor shaft  32  in a clockwise direction and the disk coin-type vibration motor  68  to vibrate simultaneously; and when switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  is in the ON(L) position the flow of electrical current would result in the torque gear box motor  30  rotating motor shaft  32  in a counterclockwise direction and the disk coin-type vibration motor  68  to vibrate simultaneously. In addition, when switching means  86  of the ON(L)-OFF(O)-ONE) directional switch  84  is in the OFF(O) position no flow of electrical current from batteries  20  exists. 
     Handle  12  further comprises a shaft shield  94  having a seal  96 , as shown in  FIGS. 1 and 2 and 14  thru  16 ; a locking mechanism  98 , shown in  FIG. 17 , comprising a male connectable section  100  having an end  102  affixed to applicator head  78  and a female connectable section  104  having an end  106  affixed to the second end  62  of the rotatable shaft  56  of drive mechanism  28 . The locking mechanism  98  is disengaged, as shown in  FIG. 17  and engaged, as shown in  FIG. 18 . Handle  12  still further comprises a stem  108  extending a distance between applicator head  78  and locking mechanism  98  having an end  110  that is affixed to the applicator head  78  and having an end  112  that is affixed to end  102  of the locking mechanism  98 , as shown in  FIG. 19 . The locking mechanism  98  having an affixed stem  108  is disengaged, as shown in  FIG. 19 , and engaged as shown in  FIG. 20 . The applicator head  78  and the applicator head  78  and stem  108  are replaceable. Applicator head  78  may be of a variety of customized applicators. Locking mechanism  98  provides the means to remove and replace applicator head  78  and/or applicator head  78  and stem  108 . 
     The detachable container  14 , as shown in  FIG. 3 , comprises a matched outer helical ridge  114 ; a chamber  116  having opening  118 ; a surface stripper  120  having an opening  122 . The chamber  116  of the detachable container  14  stores cosmetic product, such as mascara. Other types of cosmetic product may be stored in the detachable container  14 . Gasket  90 , as shown in  FIG. 1 , seals the chamber  116  when the detachable container  14  is snugly fastened to handle  12 . The detachable container  14  is replaceable and may or may not contain cosmetic product at the time of its replacement. The detachable container  14  is replaced at the same time that the applicator head  78  and/or the applicator head  78  and stem  108  is replaced and after the shaft shield  94 , seal  96  and other surrounding surfaces at the base of shaft shield  94  have been disinfected. 
     The surface stripper  120  is disposed at or near the opening  118  of the detachable container  14 , as shown in  FIG. 3 . As the applicator head  78  is removed from the detachable container  14 , it first passes through opening  122  of the surface stripper  120  where applicator head  78  brushes or rubs against the wall of the opening  122  removing excessive cosmetic product and distributing the cosmetic product evenly upon applicator head  78  and then passes through opening  118 . 
     The drive mechanism  28  further comprises a looping cam groove track  50  profile group  510 . Looping cam groove track  50  profile group  510  comprises a two-stroke looping cam groove track profile, as shown in  FIG. 22 ; a four-stroke looping cam groove track profile, as shown in  FIG. 23 ; a six-stroke looping cam groove track profile, as shown in  FIG. 24 ; an eight-stroke looping cam groove track profile, as shown in  FIG. 25 ; a four-stroke looping cam groove track profile having length segment variations, as shown in  FIG. 26 ; a six-stroke looping cam groove track profile having length segment variations, as shown in  FIG. 27 ; an eight-stroke looping cam groove track profile having length segment variations, as shown in  FIG. 28 ; and an eight-stroke looping cam groove track profile having other length segment variations, as shown in  FIG. 29 . 
     The two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  comprises a first equal length segment  124  having a first end  126  and a second end  128 ; a second equal length segment  130  having a first end  132  and a second end  134 ; a first looping joint  136 ; and a second looping joint  138  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     At the furthest backward point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile first end  126  of the first equal length segment  124  is adjoined to one end of the first looping joint  136  while second end  134  of the second equal length segment  130  is adjoined to the other end of the first looping joint  136  and at the furthest forward point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile second end  128  of the first equal length segment  124  is adjoined to one end of the second looping joint  138  while first end  132  of the second equal length segment  130  is adjoined to the other end of the second looping joint  138  thereby forming the reciprocating cycle of the two-stroke looping cam groove track  50  profile as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolved once in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled once forward and once backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     The four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  comprises a first equal length segment  142  having a first end  144  and a second end  146 , a second equal length segment  148  having a first end  150  and a second end  152 ; a third equal length segment  154  having a first end  156  and a second end  158 ; a fourth equal length segment  160  having a first end  162  and a second end  164 ; a first looping joint  166 ; a second looping joint  168 ; a third looping joint  170  and a fourth looping joint  172  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 . 
     At the first furthest forward point of the reciprocating cycle of the four-stroke looping cam groove track  50  profile the first end  144  of the first equal length segment  142  is adjoined to one end of the first looping joint  166  while the second end  164  of the fourth equal length segment  160  is adjoined to the other end of the first looping joint  166  and at the first furthest backward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile the second end  146  of the first equal length segment  142  is adjoined to one end of the second looping joint  168  while the first end  150  of the second equal length segment  148  is adjoined to the other end of the second looping joint  168  and at the second furthest forward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile the second end  152  of the second equal length segment  148  is adjoined to one end of the third looping joint  170  while the first end  156  of the third equal length segment  154  is adjoined to the other end of the third looping joint  170  and at the second furthest backward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile the second end  158  of the third equal length segment  154  is adjoined to one end of the fourth looping joint  172  while the first end  162  of the fourth equal length segment  160  is adjoined to the other end of the fourth looping joint  172  thereby forming the reciprocating cycle of the four-stroke looping cam groove track  50  profile as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when a four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized is that for every revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolved once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 . 
     The six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  comprises a first equal length segment  176  having a first end  178  and a second end  180 ; a second equal length segment  182  having a first end  184  and a second end  186 ; a third equal length segment  188  having a first end  190  and a second end  192 ; a fourth equal length segment  194  having a first end  196  and a second end  198 ; a fifth equal length segment  200  having a first end  202  and a second end  204 ; a sixth equal length segment  206  having a first end  208  and a second end  210 ; a first looping joint  212 ; a second looping joint  214 ; a third looping joint  216 ; a fourth looping joint  218 ; a fifth looping joint  220  and a six looping joint  222  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 . 
     At the first furthest forward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile the first end  178  of the first equal length segment  176  is adjoined to one end of the first looping joint  212  while the second end  210  of the sixth equal length segment  206  is adjoined to the other end of the first looping joint  212  and at the first furthest backward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile the second end  180  of the first equal length segment  176  is adjoined to one end of the second looping joint  214  while first end  184  of the second equal length segment  182  is adjoined to the other end of the second looping joint  214  and at the second furthest forward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile the second end  186  of the second equal length segment  182  is adjoined to one end of the third looping joint  216  while the first end  190  of the third equal length segment  188  is adjoined to the other end of the third looping joint  216  and at the second furthest backward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile the second end  192  of the third equal length segment  188  is adjoined to one end of the fourth looping joint  218  while the first end  196  of the fourth equal length segment  194  is adjoined to the other end of the fourth looping joint  218  and at the third furthest forward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile the second end  198  of the fourth equal length segment  194  is adjoined to one end of the fifth looping joint  220  while the first end  202  of the fifth equal length segment  200  is adjoined to the other end of the fifth looping joint  220  and at the third furthest backward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile the second end  204  of the fifth equal length segment  200  is adjoined to one end of the sixth looping joint  222  while the first end  208  of the sixth equal length segment  206  is adjoined to the other end of the sixth looping joint  222  thereby forming the reciprocating cycle of the six-stroke looping cam groove track  50  profile as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 . 
     The eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  comprises a first equal length segment  226  having a first end  228  and a second end  230 ; a second equal length segment  232  having a first end  234  and a second end  236 ; a third equal length segment  238  having a first end  240  and a second end  242 ; a fourth equal length segment  244  having a first end  246  and a second end  248 ; a fifth equal length segment  250  having a first end  252  and a second end  254 ; a sixth equal length segment  256  having a first end  258  and a second end  260 ; a seventh equal length segment  262  having a first end  264  and a second end  266 ; an eight equal length segment  268  having a first end  270  and a second end  272 ; a first looping joint  274 ; a second looping joint  276 ; a third looping joint  278 ; a fourth looping joint  280 ; a fifth looping joint  282 ; a six looping joint  284 ; a seventh looping joint  286  and an eighth looping joint  288  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 . 
     At the first furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the first end  228  of the first equal length segment  226  is adjoined to one end of the first looping joint  274  while second end  272  of the eight equal length segment  268  is adjoined to the other end of the first looping joint  274  and at the first furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  230  of the first equal length segment  226  is adjoined to one end of the second looping joint  276  while first end  234  of the second equal length segment  232  is adjoined to the other end of the second looping joint  276  and at the second furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  236  of the second equal length segment  232  is adjoined to one end of the third looping joint  278  while the first end  240  of the third equal length segment  238  is adjoined to the other end of the third looping joint  278  and at the second furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  242  of the third equal length segment  238  is adjoined to one end of the fourth looping joint  280  while the first end  246  of the fourth equal length segment  244  is adjoined to the other end of the fourth looping joint  280  and at the third furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  248  of the fourth equal length segment  244  is adjoined to one end of the fifth looping joint  282  while the first end  252  of the fifth equal length segment  250  is adjoined to the other end of the fifth looping joint  282  and at the third furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  254  of the fifth equal length segment  250  is adjoined to one end of the sixth looping joint  284  while the first end  258  of the sixth equal length segment  256  is adjoined to the other end of the sixth looping joint  284  and at the fourth furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  260  of the sixth equal length segment  256  is adjoined to one end of the seventh looping joint  286  while the first end  264  of the seventh equal length segment  262  is adjoined to the other end of the seventh looping joint  286  and at the fourth furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile the second end  266  of the seventh equal length segment  262  is adjoined to one end of the eighth looping joint  288  while the first end  270  of the eight equal length segment  268  is adjoined to the other end of the eighth looping joint  288  thereby forming the reciprocating cycle of the eight-stroke looping cam groove track  50  profile as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Mascara Applicator  10  when an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 . 
     The four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations comprises an first long equal length segment  292  having an first end  294  and an second end  296 ; an second long equal length segment  298  having an first end  300  and an second end  302 ; an first short equal length segment  304  having an first end  306  and an second end  308 ; an second short equal length segment  310  having an first end  312  and an second end  314 ; an first looping joint  316 ; an second looping joint  318 , an third looping joint  320  and an fourth looping joint  322  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 . 
     The four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations comprises a first long equal length segment  292  having a first end  294  and a second end  296 ; a second long equal length segment  298  having a first end  300  and a second end  302 ; a first short equal length segment  304  having a first end  306  and a second end  308 ; a second short equal length segment  310  having a first end  312  and a second end  314 ; a first looping joint  316 ; a second looping joint  318 , a third looping joint  320  and a fourth looping joint  322  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 . 
     At the first furthest forward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile having length segment variations the first end  294  of the first long equal length segment  292  is adjoined to one end of the first looping joint  316  while second end  302  of the second long equal length segment  298  is adjoined to the other end of the first looping joint  316  and at the first furthest backward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile having length segment variations the second end  296  of the first long equal length segment  292  is adjoined to one end of the second looping joint  318  while first end  306  of the first short equal length segment  304  is adjoined to the other end of the second looping joint  318  and at a lesser forward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile having length segment variations the second end  308  of the first short equal length segment  304  is adjoined to one end of the third looping joint  320  while the first end  312  of the second short equal length segment  310  is adjoined to the other end of the third looping joint  320  and at the second furthest backward point of the reciprocating cycle of a four-stroke looping cam groove track  50  profile having length segment variations the second end  314  of the second short equal length segment  310  is adjoined to one end of the fourth looping joint  322  while the first end  300  of the second long equal length segment  298  is adjoined to the other end of the fourth looping joint  322  thereby forming the reciprocating cycle of the eight-stroke looping cam groove track  50  profile having length segment variations as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when a four-stroke looping cam groove track  50  profile having length segment variations is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a greater distance, forward a lesser distance, backward a lesser distance and forward a greater distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 . 
     The six-stroke looping cam groove track  50  profile having length segment variations of the looping cam groove track  50  profile group  510  comprises a first long equal length segment  326  having a first end  328  and a second end  330 ; a second long equal length segment  332  having a first end  334  and a second end  336 ; a first short equal length segment  338  having a first end  340  and a second end  342 ; a second short equal length segment  344  having a first end  346  and a second end  348 ; a third long equal length segment  350  having a first end  352  and a second end  354 ; a fourth long equal length segment  356  having a first end  358  and a second end  360 ; a first looping joint  362 ; a second looping joint  364 ; a third looping joint  366 ; a fourth looping joint  368 ; a fifth looping joint  370  and a sixth looping joint  372  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 . 
     At the first furthest forward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile having length segment variations the first end  328  of the first long equal length segment  326  is adjoined to one end of the first looping joint  362  while second end  360  of the fourth long equal length segment  356  is adjoined to the other end of the first looping joint  362  and at the first furthest backward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile having length segment variations the second end  330  of the first long equal length segment  326  is adjoined to one end of the second looping joint  364  while first end  334  of the second long equal length segment  332  is adjoined to the other end of the second looping joint  364  and at the second furthest forward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile having length segment variations the second end  336  of the second long equal length segment  332  is adjoined to one end of the third looping joint  366  while the first end  340  of the first short equal length segment  338  is adjoined to the other end of the third looping joint  366  and at the lesser backward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile having length segment variations the second end  342  of the first short equal length segment  338  is adjoined to one end of the fourth looping joint  368  while the first end  346  of the second short equal length segment  344  is adjoined to the other end of the fourth looping joint  368  and at the third furthest forward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile having length segment variations the second end  348  of the second short equal length segment  344  is adjoined to one end of the fifth looping joint  370  while the first end  352  of the third long equal length segment  350  is adjoined to the other end of the fifth looping joint  370  and at the second furthest backward point of the reciprocating cycle of a six-stroke looping cam groove track  50  profile having length segment variations the second end  354  of the third long equal length segment  350  is adjoined to one end of the sixth looping joint  372  while the first end  358  of the fourth long equal length segment  356  is adjoined to the other end of the sixth looping joint  372  thereby forming the reciprocating cycle of the six-stroke looping cam groove track  50  profile having length segment variations as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when a six-stroke looping cam groove track  50  profile having length segment variations is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a great distance and forward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 . 
     The eight-stroke looping cam groove track  50  profile having length segment variations of the looping cam groove track  50  profile group  510  comprises a first long equal length segment  376  having a first end  378  and a second end  380 ; a second long equal length segment  382  having a first end  384  and a second end  386 ; a first short equal length segment  388  having a first end  390  and a second end  392 ; a second short equal length segment  394  having a first end  396  and a second end  398 ; a third long equal length segment  400  having a first end  402  and a second end  404  a fourth long equal length segment  406  having a first end  408  and a second end  410 ; a third short equal length segment  412  having a first end  414  and a second end  416 ; a fourth short equal length segment  418  having a first end  420  and a second end  422 ; a first looping joint  424 ; a second looping joint  426 ; a third looping joint  428 ; a fourth looping joint  430 ; a fifth looping joint  432 ; a sixth looping joint  434 ; a seventh looping joint  436  and an eighth looping joint  438  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 . 
     At the first furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the first end  378  of the first long equal length segment  376  is adjoined to one end of the first looping joint  424  while second end  422  of the fourth short equal length segment  418  is adjoined to the other end of the first looping joint  424  and at the first furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  380  of the first long equal length segment  376  is adjoined to one end of the second looping joint  426  while first end  384  of the second long equal length segment  382  is adjoined to the other end of the second looping joint  426  and at the second furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  386  of the second long equal length segment  382  is adjoined to one end of the third looping joint  428  while the first end  390  of the first short equal length segment  388  is adjoined to the other end of the third looping joint  428  and at the first lesser backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  392  of the first short equal length segment  388  is adjoined to one end of the fourth looping joint  430  while the first end  396  of the second short equal length segment  394  is adjoined to the other end of the fourth looping joint  430  and at the third furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  398  of the second short equal length segment  394  is adjoined to one end of the fifth looping joint  432  while the first end  402  of the third long equal length segment  400  is adjoined to the other end of the fifth looping joint  432  and at the second furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  404  of the third long equal length segment  400  is adjoined to one end of the sixth looping joint  434  while the first end  408  of the fourth long equal length segment  406  is adjoined to the other end of the sixth looping joint  434  and at the fourth furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  410  of the fourth long equal length segment  406  is adjoined to one end of the seventh looping joint  436  while the first end  414  of the third short equal length segment  412  is adjoined to the other end of the seventh looping joint  436  and at the second lesser backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having length segment variations, the second end  416  of the third short equal length segment  412  is adjoined to one end of the eighth looping joint  438  while the first end  420  of the fourth short equal length segment  418  is adjoined to the other end of the eighth looping joint  438  thereby forming the reciprocating cycle of the eight-stroke looping cam groove track  50  profile having length segment variations as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when an eight-stroke looping cam groove track  50  profile having length segment variations as described directly above is utilized is that for every revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a great distance, forward a great distance, backward a less distance and forward a less distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 . 
     The eight-stroke looping cam groove track  50  profile having other length segment variations of the looping cam groove track  50  profile group  510  comprises a first long equal length segment  442  having a first end  444  and a second end  446 ; a second long equal length segment  448  having a first end  450  and a second end  452 ; a first short equal length segment  454  having a first end  456  and a second end  458 , a second short equal length segment  460  having a first end  462  and a second end  464 ; a third short equal length segment  466  having a first end  468  and a second end  470 ; a fourth short equal length segment  472  having a first end  474  and a second end  476 ; a third long equal length segment  478  having a first end  480  and a second end  482 ; a fourth long equal length segment  484  having a first end  486  and a second end  488 ; a first looping joint  490 , a second looping joint  492 ; a third looping joint  494 ; a fourth looping joint  496 ; a fifth looping joint  498 ; a six looping joint  500 ; a seventh looping joint  502  and an eighth looping joint  504  as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     At the first furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the first end  444  of the first long equal length segment  442  is adjoined to one end of the first looping joint  490  while second end  488  of the fourth long equal length segment  484  is adjoined to the other end of the first looping joint  490  and at the first furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile having other length segment variations, the second end  446  of the first long equal length segment  442  is adjoined to one end of the second looping joint  492  while first end  450  of the second long equal length segment  448  is adjoined to the other end of the second looping joint  492  and at the second furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the second end  452  of the second long equal length segment  448  is adjoined to one end of the third looping joint  494  while the first end  456  of the first short equal length segment  454  is adjoined to the other end of the third looping joint  494  and at the first lesser backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the second end  458  of the first short equal length segment  454  is adjoined to one end of the fourth looping joint  496  while the first end  462  of the second short equal length segment  460  is adjoined to the other end of the fourth looping joint  496  and at the third furthest forward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the second end  464  of the second short equal length segment  460  is adjoined to one end of the fifth looping joint  498  while the first end  468  of the third short equal length segment  466  is adjoined to the other end of the fifth looping joint  498  and at second lesser backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the second end  470  of the third short equal length segment  466  is adjoined to one end of the sixth looping joint  500  while the first end  474  of the fourth short equal length segment  472  is adjoined to the other end of the sixth looping joint  500  and at the fourth furthest forward points of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the second end  476  of the fourth short equal length segment  472  is adjoined to one end of the seventh looping joint  502  while the first end  480  of the third long equal length segment  478  is adjoined to the other end of the seventh looping joint  502  and at the second furthest backward point of the reciprocating cycle of an eight-stroke looping cam groove track  50  profile, having other length segment variations, the second end  482  of the third long equal length segment  478  is adjoined to one end of the eighth looping joint  504  while the first end  486  of the fourth long equal length segment  484  is adjoined to the other end of the eighth looping joint  504  thereby forming the reciprocating cycle of the eight-stroke looping cam groove track  50  profile having other length segment variations as illustrated in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  when an eight-stroke looping cam groove track  50  profile having other length segment variations is utilized is that for every revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a less distance, forward a less distance, backward a great distance and forward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     The nature of drive mechanism  28  is such that when the torque gear box motor  30  rotates motor shaft  32 , the mating male spline gear  34  that is carried on motor shaft  32  also rotates in the same direction and transmits that rotation to the mating female slidable oblong multipurpose component  44  by way of the series of narrow keys (external splines)  36  of the mating male spline gear  34  to the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44 , shown in  FIG. 5 , thereby enabling the stationary cam follower  66  that is engaged with the embedded looping cam groove track  50  of the mating female slidable oblong multipurpose component  44 , shown in  FIGS. 1, 2 and 14  thru  16 , to begin to continuously dictate the embedded looping cam groove track  50  profile to the mating female slidable oblong multipurpose component  44  causing the mating female slidable oblong multipurpose component  44  to reciprocate while being rotated. Regardless of whether the mating female slidable oblong multipurpose component  44  of the drive mechanism  28  receives clockwise or counterclockwise transmission rotation from the mating male spline gear  34 , the direction of reciprocation of the mating female slidable oblong multipurpose component  44  can commence in a forward or backward direction. That point within the rotating cycle and reciprocating cycle of the mating female slidable oblong multipurpose component  44  at which the commencement of rotation and reciprocation begins will always be random and is always established at the time of the most recent deactivation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  by way of the Push-On/Push-Off switch  88  being positioned to the OFF position, in this and other embodiments, or by way of positioning the ON(L)-OFF(O)-ON(R) directional switch  84  to the OFF(O) position, in this and other embodiments. In addition, at that very moment in time when the torque gear box motor  30  began to rotate motor shaft  32  the disk coin-type vibration motor  68  commenced vibration and vibrated base  508  of transfer head  70 , domed portion  72  of transfer head  70  and the rotatable shaft  56 . 
     A characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  is that the maximum number of revolutions per minute (RPM) of motor shaft  32  by torque gear box motor  30  depends solely on the RPM ratings of the Torque Gear Box motor  30 . In this present embodiment and other embodiments, when a 3Volt DC 10 RPM Torque Gear Box Motor is the Torque Gear Box motor  30  then the maximum number of revolutions that applicator head  78  revolves is 10 revolutions per minute. In this present embodiment and other embodiments, when a 3Volt DC 30 RPM Torque Gear Box Motor is the Torque Gear Box motor  30  then the maximum number of revolutions that applicator head  78  revolves is 30 revolutions per minute. In some embodiments where the voltage is great enough the speed of the Torque Gear Box motor  30  can be controlled by using a potentiometer or a switched-mode controller. Any reduction of voltage will reduce automatically the number of revolutions of the applicator head 78 per minute. 
     Another characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  is that the measured distance that the applicator head  78  travels forward from the beginning of the forward stroke of a reciprocating cycle to the end of the forward stroke of a reciprocating cycle will always be identical to the measured distance that the applicator head  78  travels backward from the beginning of the backward stroke of a reciprocating cycle to the end of the backward stroke of a reciprocating cycle, except in those instances when the looping cam groove track  50  profile having length segment variations is utilized. In addition, the measured distance that the applicator head  78  travels forward from the beginning of the forward stroke of a reciprocating cycle to the end of the forward stroke of a reciprocating cycle depends solely on the length of that segment of looping cam groove track  50  profile of the mating female slidable oblong multipurpose component  44 . 
     A further characteristic of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  is that during the reciprocation of the mating female slidable oblong multipurpose component  44  the furthest backward point of the reciprocating cycle reached by the backward stroke of the reciprocation strokes is such that it will never be great enough to allow end  38  of the mating male spline gear  34  to travel beyond air passageway  52  and air passageway  54  of the mating female slidable oblong multipurpose component  44 . The top perspective cut-away schematic view of the mating female slidable oblong multipurpose component  44 , illustrated in  FIG. 21 , depicts a pictorial understanding of the internal interaction between the mating female slidable oblong multipurpose component  44  and the mating male spline gear  34 . 
     In the embodiments of the invention presented the connectable applicator head  78  may rest, be driven to simultaneously rotate in either a clockwise or counterclockwise direction, reciprocate and vibrate; or be driven to simultaneously rotate in either a clockwise or counterclockwise direction and reciprocate; or just vibrate. 
     The Present Invention in Operation 
     When the ON(L)-OFF(O)-ON(R) Directional Switch  84  is in the R Position and the Push-On/Push-Off Switch  88  is in an ON Position 
     In order to fully explain accurately the operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  it must first be made known that a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , shown in  FIG. 22 , is being utilized as looping cam groove track  50  of a mating female slidable oblong multipurpose component  44 , and secondly, that an established operational commencing point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile must be assigned for purposes of explanation due to the reciprocating nature of the drive mechanism  28  as described above. Therefore, the very beginning of the forward stroke of the reciprocating cycle of the two-stroke looping cam groove track  50  profile shall be the established operational commencing point, as shown in  FIG. 6 . Hereafter, the operational commencing point will always be determined at that point within the reciprocating cycle when the most recent deactivation of the flow of electrical current from batteries  20  occurred by way of the Push-On/Push-Off switch  88  being positioned to the OFF position or by way of switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  being positioned to the OFF(O) position. 
     Before a User operates the present invention a User must be informed that mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . In addition, a User is informed that it is recommended to have the Push-On/Push-Off switch  88  in the OFF position during the insertion of the applicator head  78  through opening  118  of the detachable container  14  and then through opening  122  of the surface stripper  120  into the chamber  116 . Once the applicator head  78  is fully within the chamber  116  of the detachable container  14  the Push-On/Push-Off switch  88  may be positioned to the ON position momentarily thereby shearing the mascara within the chamber  116  thus lowering the viscosity of the mascara to be loaded onto applicator head  78  for the eventual depositing of the mascara to the eyelashes. 
     In operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 , a User may first separate the detachable container  14  from the handle  12  by holding the detachable container  14  firmly while rotating the handle  12  to the left until the continued rotation of handle  12  causes the complete separation of the matched outer helical ridge  114  of the detachable container  14  from the matched inner helical ridge  92  of handle  12 . A User then pulls the applicator head  78  of handle  12  through opening  122  of the surface stripper  120  of the detachable container  14  thus evenly compressing and distributing the mascara onto applicator head  78  for application purposes; and then guides the applicator head  78  through opening  118  of the detachable container  14 . The compressed and evenly distributed mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . 
     A User then positions the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(R) position, thereby establishing the desired electrical circuit for the electrical current to flow from batteries  20  to and through the Push-On/Push-Off switch  88  and to and through the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30 . This operational step of positioning the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(R) position could have been performed by a User prior to the separation of the detachable container  14  from handle  12 . 
     A User then positions the Push-On/Push-Off switch  88  to the ON position completing the selected circuit thereby causing the electrical current to begin to flow from batteries  20  to and through the Push-On/Push-Off switch  88 ; and then to and through the ON(R) position circuitry of the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30  causing the motor shaft  32  to rotate in a clockwise direction. As the motor shaft  32  is rotating in a clockwise direction the mating male spline gear  34  carried on motor shaft  32  is also rotating in a clockwise direction and transmits that clockwise rotation by way of the series of narrow keys (external splines)  36  of the mating male spline gear  34  to the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  causing the mating female slidable oblong multipurpose component  44  to rotate in a clockwise direction. At the very moment when the mating female slidable oblong multipurpose component  44  begins to rotate in a clockwise direction, an interaction between the embedded a two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  and the stationary cam follower  66  of the drive mechanism  28  does occur. More particularly, the stationary cam follower  66  transmits the movement dictated by the embedded two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong  40  multipurpose component  44  to the mating female slidable oblong multipurpose component  44  thereby causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to begin to slide in a forward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34  marking the beginning of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. 
     In addition, the rotatable shaft  56  whose first end  58 , as shown in  FIG. 12 , is centrally affixed to closed end  60  of the mating female slidable oblong multipurpose component  44  and whose second end  62  is connectable directly to applicator head  78 , as shown in  FIG. 15 , or in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  are also being rotated in a clockwise direction and sliding in a forward direction towards the completion of the forward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. The clockwise rotation and sliding in a forward direction of the rotatable shaft  56  is supported by bushing  64 , shown in  FIG. 1 . 
     As the mating female slidable oblong multipurpose component  44  continues to be rotated clockwise by the transmitted clockwise rotation of the mating male spline gear  34 , the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to continue to slide in a forward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , thereby continuing to drive the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  in a forward direction until the furthest forward point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the forward stroke, as shown in  FIG. 8 . 
     As the mating female slidable oblong multipurpose component  44  continues to receive transmitted clockwise rotation and rotate clockwise, the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  to loop into the backward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to slide in a backward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , and continues to do so, until the furthest backward peak of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the backward stroke, as shown in  FIG. 11 . 
     Whereupon, the continuation of the mating female slidable oblong multipurpose component  44  receiving transmitted clockwise rotation and rotating clockwise results in the continuation of the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile of the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in an immediate looping back to and entering into and completing the forward stroke of the reciprocation cycle; and then, the looping back to and entering into and completing the backward stroke of the reciprocation cycle and so forth and so on. The rotation and reciprocation cycle of the two-stroke looping cam groove track  50  profile is shown in  FIGS. 6  thru  11 . 
     In addition, at that same moment in time when a User positioned the Push-On/Push-Off switch  88  to the ON position, a vibration also commenced, continued and was transferred to the applicator head  78 . More particularly, when the Push-On/Push-Off switch  88  was positioned to the ON position the electrical current also began to flow from batteries  20  to and through the Push-On/Push-Off switch  88  to the disk coin-type vibration motor  68  causing the disk coin-type vibration motor  68  to begin to vibrate sending continual vibration to and through the base  508  of transfer head  70 ; to and through the domed portion  72  of transfer head  70 ; to and through the rotating and reciprocating rotatable shaft  56 ; and to and through the directly connected applicator head  78 , as shown in  FIG. 15 , or in another embodiment to and through the indirectly connected to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment to and through the indirectly connected to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20 . 
     The repeated reciprocation of the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  sliding forward and backward on the series of narrow keys (external splines)  36  of the mating male spline gear  34  creates air movement within the open drive mechanism compartment  24  that freely flows within to and fro through air flow shaft  40  and air flow shaft  42  of the mating male spline gear  34 , as shown in  FIG. 5 , as well as, to and fro through air passageway  52  and air passageway  54  of the mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 5 and 6 ; and to and fro through the air flow shaft  82 , shown in  FIG. 1  during the entire operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 . 
     While applicator head  78  is simultaneously reciprocating, rotating clockwise and vibrating a User transfers the mascara from applicator head  78  to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes thereby providing a User a new unmatched ultimate mascara application experience. The simultaneous reciprocation, clockwise rotation and vibration the applicator head  78  continues until a User positions the Push-On/Push-Off switch  88  to the OFF position. 
     Once a User completes the application of mascara to all of the desired eyelash groups, a User inserts the applicator head  78  through opening  118  of the detachable container  14 ; through opening  122  of the surface stripper  120  into the chamber  116  of the detachable container  14 , and then, holds the detachable container  14  firmly while rotating the handle  12  to the right until the continued rotation of the matched outer helical ridge  114  of the detachable container  14  and the matched inner helical ridge  92  of handle  12  tightly seal handle  12  with the detachable container  14 . 
     In the present embodiment and operation of the invention described above a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 22  was utilized. Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolved once in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled once forward and once backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     However, in some embodiments a four-stroke looping cam groove track profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 23  is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolved once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 ; and yet, in another embodiment a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 ; and yet, in other embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward, forward, backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 ; and yet, in yet other embodiments a four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a greater distance, forward a lesser distance, backward a lesser distance and forward a greater distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 ; and yet, in another embodiments a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a great distance and forward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 ; and yet, in yet another embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a great distance, forward a great distance, backward a less distance and forward a less distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 ; and yet, in yet other embodiments an eight-stroke looping cam groove track profile having other length segment variations, as shown in  FIG. 29  an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having other length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a less distance, forward a less distance, backward a great distance and forward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     The Present Invention in Operation 
     When the ON(L)-OFF(O)-ON(R) Directional Switch  84  is in the L Position and the Push-On/Push-Off Switch  88  is in an ON Position 
     In order to fully explain accurately the operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  it must first be made known that a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , shown in  FIG. 22 , is being utilized as looping cam groove track  50  of a mating female slidable oblong multipurpose component  44 , and secondly, that an established operational commencing point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile must be assigned for purposes of explanation due to the reciprocating nature of the drive mechanism  28  as described above. Therefore, the very beginning of the backward stroke of the reciprocating cycle of the two-stroke looping cam groove track  50  profile shall be the established operational commencing point, as shown in  FIG. 9 . Hereafter, the operational commencing point will always be determined at that point within the reciprocating cycle when the most recent deactivation of the flow of electrical current from batteries  20  occurred by way of the Push-On/Push-Off switch  88  being positioned to the OFF position or by way of switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  being positioned to the OFF(O) position. 
     Before a User operates the present invention a User must be informed that the mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . In addition, a User is informed that it is recommended to have the Push-On/Push-Off switch  88  in the OFF position during the insertion of the applicator head  78  through opening  118  of the detachable container  14  and then through opening  122  of the surface stripper  120  into the chamber  116 . Once the applicator head  78  is fully within the chamber  116  of the detachable container  14  the Push-On/Push-Off switch  88  may be positioned to the ON position momentarily thereby shearing the mascara within the chamber  116  thus lowering the viscosity of the mascara to be loaded onto applicator head  78  for the eventual depositing of the mascara to the eyelashes. 
     In operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 , a User may first separate the detachable container  14  from the handle  12  by holding the detachable container  14  firmly while rotating the handle  12  to the left until the continued rotation of handle  12  causes the complete separation of the matched outer helical ridge  114  of the detachable container  14  from the matched inner helical ridge  92  of handle  12 . A User then pulls the applicator head  78  of handle  12  through opening  122  of the surface stripper  120  of the detachable container  14  thus evenly compressing and distributing the mascara onto applicator head  78  for application purposes; and then guides the applicator head  78  through opening  118  of the detachable container  14 . The compressed and evenly distributed mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . 
     A User then positions the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(L) position, thereby establishing the desired electrical circuit for the electrical current to flow from batteries  20  to and through the Push-On/Push-Off switch  88  and to and through the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30 . This operational step of positioning the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(L) position could have been performed by a User prior to the separation of the detachable container  14  from handle  12 . 
     A User then positions the Push-On/Push-Off switch  88  to the ON position completing the selected circuit thereby causing the electrical current to begin to flow from batteries  20  to and through the Push-On/Push-Off switch  88 ; and then to and through the ON(L) position circuitry of the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30  causing the motor shaft  32  to rotate in a counterclockwise direction. As the motor shaft  32  is rotating in a counterclockwise direction the mating male spline gear  34  carried on motor shaft  32  is also rotating in a counterclockwise direction and transmits that counterclockwise rotation by way of the series of narrow keys (external splines)  36  of the mating male spline gear  34  to the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  causing the mating female slidable oblong multipurpose component  44  to rotate in a counterclockwise direction. At the very moment when the mating female slidable oblong multipurpose component  44  begins to rotate in a counterclockwise direction, an interaction between the embedded a two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  and the stationary cam follower  66  of the drive mechanism  28  does occur. More particularly, the stationary cam follower  66  transmits the movement dictated by the embedded two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong  40  multipurpose component  44  to the mating female slidable oblong multipurpose component  44  thereby causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to begin to slide in a backward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34  marking the beginning of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. 
     In addition, the rotatable shaft  56  whose first end  58 , as shown in  FIG. 12 , is centrally affixed to closed end  60  of the mating female slidable oblong multipurpose component  44  and whose second end  62  is connectable directly to applicator head  78 , as shown in  FIG. 15 , or in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  are also being rotated in a counterclockwise direction and sliding in a backward direction towards the completion of the backward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. The counterclockwise rotation and sliding in a backward direction of the rotatable shaft  56  is supported by bushing  64 , shown in  FIG. 1 . 
     As the mating female slidable oblong multipurpose component  44  continues to be rotated counterclockwise by the transmitted counterclockwise rotation of the mating male spline gear  34 , the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to continue to slide in a backward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , thereby continuing to drive the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  in a backward direction until the furthest backward point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the backward stroke, as shown in  FIG. 11 . 
     As the mating female slidable oblong multipurpose component  44  continues to receive transmitted counterclockwise rotation and rotate counterclockwise, the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  to loop into the forward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to slide in a forward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , and continues to do so, until the furthest forward peak of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the forward stroke, as shown in  FIG. 8 . 
     Whereupon, the continuation of the mating female slidable oblong multipurpose component  44  receiving transmitted counterclockwise rotation and rotating counterclockwise results in the continuation of the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile of the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in an immediate looping back to and entering into and completing the backward stroke of the reciprocation cycle; and then, the looping back to and entering into and completing the forward stroke of the reciprocation cycle and so forth and so on. The rotation and reciprocation cycle of the two-stroke looping cam groove track  50  profile is shown in  FIGS. 6  thru  11 . 
     In addition, at that same moment in time when a User positioned the Push-On/Push-Off switch  88  to the ON position, a vibration also commenced, continued and was transferred to the applicator head  78 . More particularly, when the Push-On/Push-Off switch  88  was positioned to the ON position the electrical current also began to flow from batteries  20  to and through the Push-On/Push-Off switch  88  to the disk coin-type vibration motor  68  causing the disk coin-type vibration motor  68  to begin to vibrate sending continual vibration to and through the base  508  of transfer head  70 ; to and through the domed portion  72  of transfer head  70 ; to and through the rotating and reciprocating rotatable shaft  56 ; and to and through the directly connected applicator head  78 , as shown in  FIG. 15 , or in another embodiment to and through the indirectly connected to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment to and through the indirectly connected to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20 . 
     The repeated reciprocation of the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  sliding backward and forward on the series of narrow keys (external splines)  36  of the mating male spline gear  34  creates air movement within the open drive mechanism compartment  24  that freely flows within to and fro through air flow shaft  40  and air flow shaft  42  of the mating male spline gear  34 , as shown in  FIG. 5 , as well as, to and fro through air passageway  52  and air passageway  54  of the mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 5 and 6 ; and to and fro through the air flow shaft  82 , shown in  FIG. 1  during the entire operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 . 
     While applicator head  78  is simultaneously reciprocating, rotating counterclockwise and vibrating a User transfers the mascara from applicator head  78  to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes thereby providing a User a new unmatched ultimate mascara application experience. The simultaneous reciprocation, counterclockwise rotation and vibration the applicator head  78  continues until a User positions the Push-On/Push-Off switch  88  to the OFF position. 
     Once a User completes the application of mascara to all of the desired eyelash groups, a User inserts the applicator head  78  through opening  118  of the detachable container  14 ; through opening  122  of the surface stripper  120  into the chamber  116  of the detachable container  14 , and then, holds the detachable container  14  firmly while rotating the handle  12  to the right until the continued rotation of the matched outer helical ridge  114  of the detachable container  14  and the matched inner helical ridge  92  of handle  12  tightly seal handle  12  with the detachable container  14 . 
     In the present embodiment and operation of the invention described above a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 22  was utilized. Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolved once in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled once backward and once forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     However, in some embodiments a four-stroke looping cam groove track profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 23  is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolved once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward, backward, forward and backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 ; and yet, in another embodiment an six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward, backward, forward, backward, forward and backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 ; and yet, in other embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward, backward, forward, backward, forward, backward, forward and backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 ; and yet, in yet other embodiments a four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward a greater distance, backward a lesser distance, forward a lesser distance and backward a greater distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 ; and yet, in another embodiments a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward a great distance, backward a great distance, forward a less distance, backward a less distance, forward a great distance and backward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 ; and yet, in yet another embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward a great distance, backward a great distance, forward a less distance, backward a less distance, forward a great distance, backward a great distance, forward a less distance and backward a less distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 ; and yet, in yet other embodiments an eight-stroke looping cam groove track profile having other length segment variations, as shown in  FIG. 29  an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having other length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32 , vibrated continuously and traveled forward a great distance, backward a great distance, forward a less distance, backward a less distance, forward a less distance, backward a less distance, forward a great distance and backward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     The Present Invention in Operation 
     When the ON(L)-OFF(O)-ON(R) Directional Switch  84  is in the OFF(O) Position and the Push-On/Push-Off Switch  88  is in an ON Position 
     Before a User operates the present invention, a User must be informed that mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . In addition, a User is informed that it is recommended to have the Push-On/Push-Off switch  88  in the OFF position during the insertion of the applicator head  78  through opening  118  of the detachable container  14  and then through opening  122  of the surface stripper  120  into the chamber  116 . Once the applicator head  78  is fully within the chamber  116  of the detachable container  14  the Push-On/Push-Off switch  88  may be positioned to the ON position momentarily thereby shearing the mascara within the chamber  116  thus lowering the viscosity of the mascara to be loaded onto applicator head  78  for the eventual depositing of the mascara to the eyelashes. 
     In operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 , a User may first separate the detachable container  14  from the handle  12  by holding the detachable container  14  firmly while rotating the handle  12  to the left until the continued rotation of handle  12  causes the complete separation of the matched outer helical ridge  114  of the detachable container  14  from the matched inner helical ridge  92  of handle  12 . A User then pulls the applicator head  78  of handle  12  through opening  122  of the surface stripper  120  of the detachable container  14  thus evenly compressing and distributing the mascara onto applicator head  78  for application purposes; and then guides the applicator head  78  through opening  118  of the detachable container  14 . 
     A User then positions the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  to the OFF(O) position thereby, establishing the desired electrical circuit for the electrical current to flow from batteries  20  to and through the Push-On/Push-Off switch  88  to the disk coin-type vibration motor  68  thereby, assuring that the applicator head  78  will not simultaneously rotate and reciprocate when the Push-On/Push-Off switch  88  is positioned to the ON position but will only vibrate. This operational step of positioning the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  to the OFF(O) position could have been performed by a User prior to the separation of the detachable container  14  from handle  12 . 
     A User then positions the Push-On/Push-Off switch  88  to the ON position completing the selected circuit thereby causing the electrical current to begin to flow from batteries  20  to and through the Push-On/Push-Off switch  88  to the disk coin-type vibration motor  68  causing the disk coin-type vibration motor  68  to begin to vibrate. The vibration produced by the disk coin-type vibration motor  68  continually flows to and through the base  508  of transfer head  70 ; to and through the domed portion  72  of transfer head  70 ; to and through the rotating and reciprocating rotatable shaft  56 ; and to and through the directly connected applicator head  78 , as shown in  FIG. 15 , or in another embodiment to and through the indirectly connected to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment to and through the indirectly connected to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20 . 
     While applicator head  78  is receiving transfer vibrations and vibrating a User transfers the mascara from applicator head  78  to the desired eyelash group by touching the applicator head  78  to the desired eyelash group thereby enabling a deposit of the mascara carried by the applicator head  78  to the desired eyelash group. The transfer vibration to the applicator head  78  continues until a User positions the Push-On/Push-Off switch  88  to the OFF position. 
     A User while the Push-On/Push-Off switch  88  is in the OFF position inserts of the applicator head  78  through opening  118  of the detachable container  14  and then through opening  122  of the surface stripper  120  into the chamber  116  of the detachable container  14 . Once the applicator head  78  is fully within the chamber  116  the Push-On/Push-Off switch  88  may be positioned to the ON position momentarily thereby shearing the mascara by way of vibration within the chamber  116  thus lowering the viscosity of the mascara to be loaded onto applicator head  78  for the eventual depositing of the mascara to the eyelashes. 
     Once a User completes the application of mascara to all of the desired eyelash groups, a User inserts the applicator head  78  through opening  118  of the detachable container  14 ; through opening  122  of the surface stripper  120  into the chamber  116  of the detachable container  14 , and then, holds the detachable container  14  firmly while rotating the handle  12  to the right until the continued rotation of the matched outer helical ridge  114  of the detachable container  14  and the matched inner helical ridge  92  of handle  12  tightly seal handle  12  with the detachable container  14 . 
     The Present Invention in Operation 
     When the Vibration Components are not Included in the Device and when the ON(L)-OFF(O)-ON(R) Directional Switch  84  is in the R Position 
     A User in an alternative embodiment of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  in which the Push-On/Push-Off switch, the disk coin-type vibration motor and the transfer head are taken out, as shown in  FIG. 15  must first be made known that a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , shown in  FIG. 22 , is being utilized as looping cam groove track  50  of a mating female slidable oblong multipurpose component  44 , and secondly, that an established operational commencing point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile must be assigned for purposes of explanation due to the reciprocating nature of the drive mechanism  28  as described above. Therefore, the very beginning of the forward stroke of the reciprocating cycle of the two-stroke looping cam groove track  50  profile shall be the established operational commencing point, as shown in  FIG. 30 . Hereafter, the operational commencing point will always be determined at that point within the reciprocating cycle when the most recent deactivation of the flow of electrical current from batteries  20  occurred by way of the Push-On/Push-Off switch  88  being positioned to the OFF position or by way of switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  being positioned to the OFF(O) position. 
     Before a User operates the present invention a User must be informed that mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . In addition, a User is informed that it is recommended to have the Push-On/Push-Off switch  88  in the OFF position during the insertion of the applicator head  78  through opening  118  of the detachable container  14  and then through opening  122  of the surface stripper  120  into the chamber  116 . Once the applicator head  78  is fully within the chamber  116  of the detachable container  14  the Push-On/Push-Off switch  88  may be positioned to the ON position momentarily thereby shearing the mascara within the chamber  116  thus lowering the viscosity of the mascara to be loaded onto applicator head  78  for the eventual depositing of the mascara to the eyelashes. 
     In operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  in which the Push-On/Push-Off switch, the disk coin-type vibration motor and the transfer head are taken out, as shown in  FIG. 15 , a User may first separate the detachable container  14  from the handle  12  by holding the detachable container  14  firmly while rotating the handle  12  to the left until the continued rotation of handle  12  causes the complete separation of the matched outer helical ridge  114  of the detachable container  14  from the matched inner helical ridge  92  of handle  12 . A User then pulls the applicator head  78  of handle  12  through opening  122  of the surface stripper  120  of the detachable container  14  thus evenly compressing and distributing the mascara onto applicator head  78  for application purposes; and then guides the applicator head  78  through opening  118  of the detachable container  14 . The compressed and evenly distributed mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . 
     A User then positions the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(R) position, thereby establishing the desired electrical circuit for the electrical current to flow from batteries  20  to and through the Push-On/Push-Off switch  88  and to and through the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30 . This operational step of positioning the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(R) position could have been performed by a User prior to the separation of the detachable container  14  from handle  12 . 
     A User then positions the Push-On/Push-Off switch  88  to the ON position completing the selected circuit thereby causing the electrical current to begin to flow from batteries  20  to and through the Push-On/Push-Off switch  88 ; and then to and through the ON(R) position circuitry of the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30  causing the motor shaft  32  to rotate in a clockwise direction. As the motor shaft  32  is rotating in a clockwise direction the mating male spline gear  34  carried on motor shaft  32  is also rotating in a clockwise direction and transmits that clockwise rotation by way of the series of narrow keys (external splines)  36  of the mating male spline gear  34  to the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  causing the mating female slidable oblong multipurpose component  44  to rotate in a clockwise direction. At the very moment when the mating female slidable oblong multipurpose component  44  begins to rotate in a clockwise direction, an interaction between the embedded a two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  and the stationary cam follower  66  of the drive mechanism  28  does occur. More particularly, the stationary cam follower  66  transmits the movement dictated by the embedded two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong  40  multipurpose component  44  to the mating female slidable oblong multipurpose component  44  thereby causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to begin to slide in a forward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34  marking the beginning of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. 
     In addition, the rotatable shaft  56  whose first end  58 , as shown in  FIG. 12 , is centrally affixed to closed end  60  of the mating female slidable oblong multipurpose component  44  and whose second end  62  is connectable directly to applicator head  78 , as shown in  FIG. 15 , or in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  are also being rotated in a clockwise direction and sliding in a forward direction towards the completion of the forward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. The clockwise rotation and sliding in a forward direction of the rotatable shaft  56  is supported by bushing  64 , shown in  FIG. 1 . 
     As the mating female slidable oblong multipurpose component  44  continues to be rotated clockwise by the transmitted clockwise rotation of the mating male spline gear  34 , the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to continue to slide in a forward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , thereby continuing to drive the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  in a forward direction until the furthest forward point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the forward stroke, as shown in  FIG. 32 . 
     As the mating female slidable oblong multipurpose component  44  continues to receive transmitted clockwise rotation and rotate clockwise, the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  to loop into the backward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to slide in a backward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , and continues to do so, until the furthest backward peak of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the backward stroke, as shown in  FIG. 11 . 
     Whereupon, the continuation of the mating female slidable oblong multipurpose component  44  receiving transmitted clockwise rotation and rotating clockwise results in the continuation of the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile of the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in an immediate looping back to and entering into and completing the forward stroke of the reciprocation cycle; and then, the looping back to and entering into and completing the backward stroke of the reciprocation cycle and so forth and so on. The rotation and reciprocation cycle of the two-stroke looping cam groove track  50  profile is shown in  FIGS. 30  thru  35 . 
     The repeated reciprocation of the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  sliding forward and backward on the series of narrow keys (external splines)  36  of the mating male spline gear  34  creates air movement within the open drive mechanism compartment  24  that freely flows within to and fro through air flow shaft  40  and air flow shaft  42  of the mating male spline gear  34 , as shown in  FIG. 5 , as well as, to and fro through air passageway  52  and air passageway  54  of the mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 5 and 6 ; and to and fro through the air flow shaft  82 , shown in  FIG. 1  during the entire operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 . 
     Once a User completes the application of mascara to all of the desired eyelash groups, a User inserts the applicator head  78  through opening  118  of the detachable container  14 ; through opening  122  of the surface stripper  120  into the chamber  116  of the detachable container  14 , and then, holds the detachable container  14  firmly while rotating the handle  12  to the right until the continued rotation of the matched outer helical ridge  114  of the detachable container  14  and the matched inner helical ridge  92  of handle  12  tightly seal handle  12  with the detachable container  14 . 
     In the present embodiment and operation of the invention described above a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 22  was utilized. Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolved once in the same rotational direction of the motor shaft  32  and traveled once forward and once backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     However, in some embodiments a four-stroke looping cam groove track profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 23  is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolved once, in the same rotational direction of the motor shaft  32  and traveled backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 ; and yet, in another embodiment a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 ; and yet, in other embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled backward, forward, backward, forward, backward, forward, backward and forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 ; and yet, in yet other embodiments a four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled backward a greater distance, forward a lesser distance, backward a lesser distance and forward a greater distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 ; and yet, in another embodiments a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a great distance and forward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 ; and yet, in yet another embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a great distance, forward a great distance, backward a less distance and forward a less distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 ; and yet, in yet other embodiments an eight-stroke looping cam groove track profile having other length segment variations, as shown in  FIG. 29  an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having other length segment variations is utilized as looping cam groove track  50 . Therefore, for every clockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled backward a great distance, forward a great distance, backward a less distance, forward a less distance, backward a less distance, forward a less distance, backward a great distance and forward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     The Present Invention in Operation 
     When the Vibration Components are not Included in the Device and when the ON(L)-OFF(O)-ON(R) Directional Switch  84  is in the L Position 
     A User in an alternative embodiment of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  in which the Push-On/Push-Off switch, the disk coin-type vibration motor and the transfer head are taken out, as shown in  FIG. 15  must first be made known that a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , shown in  FIG. 22 , is being utilized as looping cam groove track  50  of a mating female slidable oblong multipurpose component  44 , and secondly, that an established operational commencing point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile must be assigned for purposes of explanation due to the reciprocating nature of the drive mechanism  28  as described above. Therefore, the very beginning of the backward stroke of the reciprocating cycle of the two-stroke looping cam groove track  50  profile shall be the established operational commencing point, as shown in  FIG. 9 . Hereafter, the operational commencing point will always be determined at that point within the reciprocating cycle when the most recent deactivation of the flow of electrical current from batteries  20  occurred by way of the Push-On/Push-Off switch  88  being positioned to the OFF position or by way of switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  being positioned to the OFF(O) position. 
     Before a User operates the present invention a User must be informed that the mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . In addition, a User is informed that it is recommended to have the Push-On/Push-Off switch  88  in the OFF position during the insertion of the applicator head  78  through opening  118  of the detachable container  14  and then through opening  122  of the surface stripper  120  into the chamber  116 . Once the applicator head  78  is fully within the chamber  116  of the detachable container  14  the Push-On/Push-Off switch  88  may be positioned to the ON position momentarily thereby shearing the mascara within the chamber  116  thus lowering the viscosity of the mascara to be loaded onto applicator head  78  for the eventual depositing of the mascara to the eyelashes. 
     In operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10  in which the Push-On/Push-Off switch, the disk coin-type vibration motor and the transfer head are taken out, as shown in  FIG. 15 , a User may first separate the detachable container  14  from the handle  12  by holding the detachable container  14  firmly while rotating the handle  12  to the left until the continued rotation of handle  12  causes the complete separation of the matched outer helical ridge  114  of the detachable container  14  from the matched inner helical ridge  92  of handle  12 . A User then pulls the applicator head  78  of handle  12  through opening  122  of the surface stripper  120  of the detachable container  14  thus evenly compressing and distributing the mascara onto applicator head  78  for application purposes; and then guides the applicator head  78  through opening  118  of the detachable container  14 . The compressed and evenly distributed mascara carried on applicator head  78  may be applied to any group of eyelashes when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the OFF(O) position, however, when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(R) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Right Eye-Upper Group of eyelashes and/or the Left Eye-Lower Group of eyelashes due to the clockwise rotation of applicator head  78 ; and when the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  is in the ON(L) position and the Push-On/Push-Off switch  88  is in the ON position the mascara carried on applicator head  78  must only be applied to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes due to the counterclockwise rotation of applicator head  78 . 
     A User then positions the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(L) position, thereby establishing the desired electrical circuit for the electrical current to flow from batteries  20  to and through the Push-On/Push-Offswitch  88  and to and through the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30 . This operational step of positioning the switching means  86  of the ON(L)-OFF(O)-ON(R) directional switch  84  from the OFF(O) position to the ON(L) position could have been performed by a User prior to the separation of the detachable container  14  from handle  12 . 
     A User then positions the Push-On/Push-Off switch  88  to the ON position completing the selected circuit thereby causing the electrical current to begin to flow from batteries  20  to and through the Push-On/Push-Off switch  88 ; and then to and through the ON(L) position circuitry of the ON(L)-OFF(O)-ON(R) directional switch  84  to the torque gear box motor  30  causing the motor shaft  32  to rotate in a counterclockwise direction. As the motor shaft  32  is rotating in a counterclockwise direction the mating male spline gear  34  carried on motor shaft  32  is also rotating in a counterclockwise direction and transmits that counterclockwise rotation by way of the series of narrow keys (external splines)  36  of the mating male spline gear  34  to the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  causing the mating female slidable oblong multipurpose component  44  to rotate in a counterclockwise direction. At the very moment when the mating female slidable oblong multipurpose component  44  begins to rotate in a counterclockwise direction, an interaction between the embedded a two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  and the stationary cam follower  66  of the drive mechanism  28  does occur. More particularly, the stationary cam follower  66  transmits the movement dictated by the embedded two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong  40  multipurpose component  44  to the mating female slidable oblong multipurpose component  44  thereby causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to begin to slide in a backward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34  marking the beginning of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. 
     In addition, the rotatable shaft  56  whose first end  58 , as shown in  FIG. 12 , is centrally affixed to closed end  60  of the mating female slidable oblong multipurpose component  44  and whose second end  62  is connectable directly to applicator head  78 , as shown in  FIG. 15 , or in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment whose second end  62  is connectable indirectly to applicator head  78  via the locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  are also being rotated in a counterclockwise direction and sliding in a backward direction towards the completion of the backward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile. The counterclockwise rotation and sliding in a backward direction of the rotatable shaft  56  is supported by bushing  64 , shown in  FIG. 1 . 
     As the mating female slidable oblong multipurpose component  44  continues to be rotated counterclockwise by the transmitted counterclockwise rotation of the mating male spline gear  34 , the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to continue to slide in a backward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , thereby continuing to drive the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  in a backward direction until the furthest backward point of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the backward stroke, as shown in  FIG. 35 . 
     As the mating female slidable oblong multipurpose component  44  continues to receive transmitted counterclockwise rotation and rotate counterclockwise, the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  continues to transmit the movement dictated by the two-stroke looping cam groove track  50  profile on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in the mating female slidable oblong multipurpose component  44 , the attached rotatable shaft  56  and applicator head  78 , as shown in  FIG. 15 , or in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98 , as shown in  FIG. 18 , or yet in another embodiment the indirectly connected applicator head  78  via the directly connected locking mechanism  98  and coupled stem  108 , as shown in  FIG. 20  to loop into the forward stroke of the reciprocation cycle of the two-stroke looping cam groove track  50  profile causing the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  to slide in a forward direction on the series of narrow keys (external splines)  36  of the mating male spline gear  34 , and continues to do so, until the furthest forward peak of the reciprocating cycle of the two-stroke looping cam groove track  50  profile dictated by the two-stroke looping cam groove track  50  profile is reached marking the end of the forward stroke, as shown in  FIG. 32 . 
     Whereupon, the continuation of the mating female slidable oblong multipurpose component  44  receiving transmitted counterclockwise rotation and rotating counterclockwise results in the continuation of the embedded two-stroke looping cam groove track  50  on the elongated surface  48  of the mating female slidable oblong multipurpose component  44  that is continually engaged with the stationary cam follower  66  to progressively transmit the movement dictated by the two-stroke looping cam groove track  50  profile of the elongated surface  48  of the mating female slidable oblong multipurpose component  44  to the mating female slidable oblong multipurpose component  44  resulting in an immediate looping back to and entering into and completing the backward stroke of the reciprocation cycle; and then, the looping back to and entering into and completing the forward stroke of the reciprocation cycle and so forth and so on. The rotation and reciprocation cycle of the two-stroke looping cam groove track  50  profile is shown in  FIGS. 30  thru  35 . 
     The repeated reciprocation of the series of corresponding grooves (internal splines)  46  of the mating female slidable oblong multipurpose component  44  sliding backward and forward on the series of narrow keys (external splines)  36  of the mating male spline gear  34  creates air movement within the open drive mechanism compartment  24  that freely flows within to and fro through air flow shaft  40  and air flow shaft  42  of the mating male spline gear  34 , as shown in  FIG. 5 , as well as, to and fro through air passageway  52  and air passageway  54  of the mating female slidable oblong multipurpose component  44 , as shown in  FIGS. 5 and 6 ; and to and fro through the air flow shaft  82 , shown in  FIG. 1  during the entire operation of the Reciprocating Rotating Vibrating Bidirectional Electric Cosmetic Applicator  10 . 
     While applicator head  78  is simultaneously reciprocating, rotating counterclockwise and vibrating a User transfers the mascara from applicator head  78  to the Left Eye-Upper Group of eyelashes and/or the Right Eye-Lower Group of eyelashes thereby providing a User a new unmatched ultimate mascara application experience. The simultaneous reciprocation, counterclockwise rotation and vibration the applicator head  78  continues until a User positions the Push-On/Push-Off switch  88  to the OFF position. 
     Once a User completes the application of mascara to all of the desired eyelash groups, a User inserts the applicator head  78  through opening  118  of the detachable container  14 ; through opening  122  of the surface stripper  120  into the chamber  116  of the detachable container  14 , and then, holds the detachable container  14  firmly while rotating the handle  12  to the right until the continued rotation of the matched outer helical ridge  114  of the detachable container  14  and the matched inner helical ridge  92  of handle  12  tightly seal handle  12  with the detachable container  14 . 
     In the present embodiment and operation of the invention described above a two-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 22  was utilized. Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolved once in the same rotational direction of the motor shaft  32  and traveled once backward and once forward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  140  shown in  FIG. 22 . 
     However, in some embodiments a four-stroke looping cam groove track profile of the looping cam groove track  50  profile group  510 , as shown in  FIG. 23  is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolved once, in the same rotational direction of the motor shaft  32  and traveled forward, backward, forward and backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  174  of  FIG. 23 ; and yet, in another embodiment a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled forward, backward, forward, backward, forward and backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  224  of  FIG. 24 ; and yet, in other embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled forward, backward, forward, backward, forward, backward, forward and backward equally in distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  290  of  FIG. 25 ; and yet, in yet other embodiments a four-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30  the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled forward a greater distance, backward a lesser distance, forward a lesser distance and backward a greater distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  324  of  FIG. 26 ; and yet, in another embodiments a six-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled forward a great distance, backward a great distance, forward a less distance, backward a less distance, forward a great distance and backward a great distance according to the reciprocating cycle shown in the 306° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  374  of  FIG. 27 ; and yet, in yet another embodiments an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32 , by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled forward a great distance, backward a great distance, forward a less distance, backward a less distance, forward a great distance, backward a great distance, forward a less distance and backward a less distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  440  of  FIG. 28 ; and yet, in yet other embodiments an eight-stroke looping cam groove track profile having other length segment variations, as shown in  FIG. 29  an eight-stroke looping cam groove track  50  profile of the looping cam groove track  50  profile group  510  having other length segment variations is utilized as looping cam groove track  50 . Therefore, for every counterclockwise revolution of motor shaft  32  by torque gear box motor  30 , the applicator head  78  simultaneously revolves once, in the same rotational direction of the motor shaft  32  and traveled forward a great distance, backward a great distance, forward a less distance, backward a less distance, forward a less distance, backward a less distance, forward a great distance and backward a great distance according to the reciprocating cycle shown in the 360° flat elongated surface of the mating female slidable oblong multipurpose component  44  diagram  506  of  FIG. 29 . 
     While the present invention has been described in connection with the preferred embodiments of the various figures, it is to be understood that other similar embodiments may be used or modifications and additions may be made to the described embodiment for performing the same function of the present invention without deviating therefrom. Therefore, the present invention should not be limited to any single embodiment, but rather construed in breadth and scope in accordance with the recitation of the appended claims.