Patent Publication Number: US-2022219484-A1

Title: A fractal-based mandala drawing toolset

Description:
FIELD OF THE INVENTION 
     The current invention is in the field of handheld drawing tools. More specifically, the invention relates to a fractal-based mandala drawing toolset. 
     BACKGROUND OF THE INVENTION 
     The process of creating a mandala such as a fractal-based mandala (e.g., six-leaf mandala) can contribute to improvement of concentration/focus of a user. 
     Creating a fractal-shaped mandala can be based on a master grid, composed by drawing equally spaced longitudinal lines and equally spaced traverse lines, with a predetermined ratio between the longitudinal and the traverse measure of spaces. The next step is a sub-division of the master grid by connecting the junctions of the crossing lines by straight lines or by round lines, creating new junctions, followed by additional subdivision. The number and shape of subdivisions will determine the final shape of the mandala, which can be creatively colored. The ratio between the longitudinal and the traverse spaces determines the shape and resolution of the created mandala. 
     The current invention provides with a user-friendly drawing toolset, to allow an easier drawing of the said master grid and of the required lines, arcs and other optional shapes for creating a fractal-based mandala, e.g., of a six leafs type. 
     SUMMARY OF THE INVENTION 
     The present invention relates to a fractal-based mandala drawing toolset, comprising at least one pair of rulers each having a different cross-sectional width, where each pair of rulers is related by the ratio between their cross-sectional widths, wherein said related pair of rulers and the combination of their widths are utilized for drafting a master grid with a predetermined shape and resolution, which is utilized as the infrastructure for creating a mandala drawing. 
     According to an embodiment of the invention, at least one of the rulers is marked with scales of and unit of measure marking. 
     According to an embodiment of the present invention, each pair of rulers is related by the ratio between their units of measure. 
     According to an embodiment of the invention, a single ruler is utilized in lieu of the related pair of rulers, by sizing or by marking two longitudinal faces of said single ruler in the same manner as two rulers of the related pair are sized or marked. 
     According to an embodiment of the invention, at least one pair of rulers utilize ⅞ and 7/16 ratios for the rulers&#39; (or ruler longitudinal face&#39;s) sizes or unit of measures markings. 
     According to an embodiment of the invention, each related pair of rulers comprises of a unique joining method, to allow the exclusive joining of only two related rulers of said pair. 
     According to an embodiment of the invention, rulers of similar utilized ratios (e.g., ⅞ and 7/16) comprises of a unique joining method, to allow their joining as a set. 
     According to an embodiment of the invention, the toolset further comprising thin rulers, in which various shaped template cutouts are embedded to allow the drawing of uniform lines, or arcs. 
     According to an embodiment of the invention, the toolset further comprising at least one booklet, which includes appropriate guidelines for drawing fractal-based mandalas by using the rulers 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         FIGS. 1A and 1B  schematically illustrate a set of rulers, according to an embodiment of the invention; 
         FIG. 1C  schematically illustrates the exclusive joining of related rulers of  FIG. 1A  and the exclusive joining of related rulers of  FIG. 1B , according to an embodiment of the invention; 
         FIGS. 1D and 1E  schematically illustrate different combinations of exclusively joining related rulers, according to an embodiment of the invention; 
         FIG. 2A  schematically illustrates a set of rulers, according to an embodiment of the invention; 
         FIGS. 2B-2D  schematically illustrate variations of rulers that combine features from the set of ruler of  FIG. 2A  with the rulers of  FIGS. 1A and 1B , according to an embodiment of the invention; 
         FIGS. 2E and 2F  schematically illustrate different combinations of exclusively joining related rulers of  FIGS. 2B-2D  and of  FIGS. 1A and 1B , according to an embodiment of the invention; 
         FIG. 3A  schematically illustrates an example of a master grid that can be created by the set of rulers of  FIG. 2 , according to an embodiment of the invention 
         FIGS. 3B and 3C  schematically demonstrate the creation of the master grid of  FIG. 3A , according to an embodiment of the invention; 
         FIGS. 4A-4C  schematically illustrates examples of designs that can be created by the master grid of  FIG. 3A ; 
         FIG. 5  schematically illustrates a template ruler in form of a fractal-based shape, according to an embodiment of the invention; 
         FIG. 6A  schematically illustrates an example of a template ruler in form of a triangular, according to an embodiment of the invention; 
         FIG. 6B-61  schematically illustrate the steps of drawing a master grid by using the template ruler of  FIG. 6A , according to an embodiment of the present invention; 
         FIG. 7A-7J  schematically illustrate examples of different template rulers in form of fractal-based shapes, according to an embodiment of the present invention. 
     
    
    
     DETAILED DESCRIPTION OF THE DRAWINGS 
     The present invention relates to a fractal-based mandala drawing toolset comprised of a set of rulers, comprised of at least one pair of related rulers, to enable an easy drawing of the required master grid, for the creation of the desirable fractal-based mandala. According to an embodiment of the present invention, the toolset may comprise 8 rulers each having a different width (e.g., 4 pairs of related rulers each having a different width on an inch scale), and in it may further comprise template rulers (e.g., the toolset may comprise 11 rulers). According to an embodiment of the invention, the toolset may further comprise one or more modular rulers that can be combined together to obtain different drawings options. According to an embodiment of the invention, the drawing toolset further comprises one or more guiding booklets, which include appropriate guidelines for drawing fractal-based mandalas by using the toolset&#39;s rulers. 
     For example, a first kit of drawing toolset may comprise modular rulers, one or more inch-based rulers (e.g., 1″ inch ruler, ⅞″ ruler, etc.), one or more template rulers (e.g., a triangular-shaped template ruler) and a corresponding guiding booklet. A second kit of drawing toolset may comprise one or more inch-based rulers (e.g., 12/8″ inch ruler, 10.5/8″ ruler, etc.), one or more template rulers (e.g., a triangular-shaped template ruler) and a corresponding guiding booklet. A third kit of drawing toolset may comprise one or more template rulers and a corresponding guiding booklet. 
       FIGS. 1A and 1B  schematically illustrate a set of modular rulers of a drawing toolset in accordance with an embodiment of the present invention, in which the toolset is comprised of three rectangular cross-sectioned rulers  110 ,  120  and  140 . A first side  130  of ruler  110  together with ruler  120  form a first pair of related rulers as shown in  FIG. 1A , in which the first side  130  ruler  110  having a width of 1″ inch (as schematically indicated by numeral  111 ), and one side of ruler  120  having a width of ½″ inch as schematically indicated by numeral  121 ). A second side  132  of ruler  110  together with ruler  140  form a second pair of related rulers as shown in  FIG. 1B , in which the second side  132  of ruler  110  having a width of ⅞″ inch (as schematically indicated by numeral  131 ), and one side of ruler  140  having a width of 3.5/7″ inch as schematically indicated by numeral  141 ).  FIGS. 1A and 1B  additionally illustrate magnetic attachment means  114 ,  115 ,  124  and  144  positioned in a suitable polarity to distinguish between each two related sides of rulers  110 ,  120  and  140 , and allow the exclusive joining of related sides (e.g., side  130  of ruler  110  with ruler  120 ), and avoiding the erroneous usage of unrelated rulers (e.g., side  132  of ruler  110  with ruler  140 ). Each ruler  110 ,  120  and  140  may have the same length that should be suitable to be used to create a master grid (e.g., a length of 333.33 millimeter). 
       FIG. 1C  schematically illustrates the exclusive joining of side  130  of ruler  110  with ruler  120  that creates the width of 1.5″ inch (by combining their widths), and the exclusive joining of side  132  of ruler  110  with ruler  140  that creates the width of 10.5/8″ inch (by combining their widths). 
       FIGS. 1D and 1E  schematically illustrate different combinations of exclusively joining related rulers to expand the possibilities of the inch-based scales, by using elements such as rulers  110 ,  120  and  140  as described with respect to  FIGS. 1A and 1B  hereinabove. 
     According to an embodiment of the present invention, at least one side of each rectangular cross-sectioned ruler, such as rulers  110 ,  120  and  140  is marked with scales and with unit measure, e.g., as shown with respect to  FIGS. 2B-2D . 
       FIG. 2A  schematically illustrates a set of rulers  200 , according to an embodiment of the invention. The set of rulers  200  comprises at least 4 rulers  210 ,  220 ,  230  and  240 , wherein the width of each ruler represents a different scale. The rulers  210 - 240  of set  200  may have an essentially flat form of common plastic or steel rulers. Ruler  210  represents 1″ inch, ruler  220  represents ½″ inch, ruler  230  represent ⅞″ inch and ruler  240  represent 3.5/7″ inch. As shown in the figure, at least some of the rulers in set  200  accompanied by alternating colored rectangular units of measure markings along their length, as schematically indicated by numeral  112  and  122 . According to an embodiment of the invention, the measuring markings  112  and  122  of each ruler are symmetrically arranged along each ruler scales as indicated by numerals  113  and  123  at the center (i.e., “0”) of each ruler. Similar to the rulers of  FIGS. 1A and 1B , each ruler  210 - 240  may have the same length that should be suitable to be used to create a master grid (e.g., a length of 333.33 millimeter). 
       FIGS. 2B-2D  schematically illustrate variation of rulers  310 ,  320 ,  330 ,  340 ,  350  and  360 , that combines the features of rulers of set  200  of  FIG. 2  (e.g., alternating markings and/or scales that appear on rulers  210 - 240 ) with three-dimensional structures of the rectangular cross-sectioned rulers  110 ,  120  and  140  of  FIGS. 1A and 1B . For example, rulers  310  and  320  can be a variation of ruler  110  in which one side has a width of 1″ inch (as indicated by ruler  310 ) and its adjacent side has a width of ⅞″ inch (as indicated by ruler  320 ), rulers  330  and  360  can be a variation of ruler  120  in which one side has a width of ½″ inch (as indicated by ruler  330 ) and its adjacent side has a width of ⅞″ inch (as indicated by ruler  360 ), and rulers  340  and  350  can be a variation of ruler  140  in which one side has a width of 3.5/7″ inch (as indicated by ruler  340 ) and its adjacent side has a width of 1″ inch (as indicated by ruler  350 ). 
       FIGS. 2E and 2F  schematically illustrate different combinations of exclusively joining related rulers of  FIGS. 2B-2D  and of  FIGS. 1A and 1B  to expand the possibilities of the inch-based scales, according to an embodiment of the invention. 
       FIG. 3A  schematically illustrates an example of a master grid  300  which is utilized as the infrastructure for creating a mandala drawing, according to an embodiment of the invention. Maser grid  300  comprises plurality of guiding lines that their crossings creates a plurality of intersection points as for example indicated by numeral  301 . Master grid can be created by one or more of the rulers as described with respect to  FIGS. 1A, 1B and 2A-2D  hereinabove. 
       FIGS. 3B and 3C  schematically demonstrate the creation of the master grid  300  by using at least some of the aforementioned rulers, according to an embodiment of the invention.  FIG. 3B  schematically illustrates one of the initial steps to create mater grid  300 , in which the width of ruler  210  (i.e., 1″ inch) is used to draw the vertical lines of master grid  300 . In this example, the center of ruler  210  (i.e., as indicated by “0”) is used to indicated the horizontal center of the master grid  300 .  FIG. 3C  schematically illustrates a following step to create mater grid  300 , in which the width of ruler  230  (i.e., ⅞″ inch) is used to draw the horizontal lines of master grid  300 . In this example, the center of ruler  230  (i.e., as indicated by “0”) is used to indicated the vertical center of master grid  300 . 
       FIGS. 4A-4C  schematically illustrate examples of longitude templates ruler that can be used on master grid  300  to create a fractal-based mandala.  FIG. 5  schematically illustrates an example of a template ruler  500  in form of a fractal-based mandala (e.g., six-leaf mandala). 
       FIG. 6A  schematically illustrates an example of a template ruler  600  in form of a triangular, according to an embodiment of the invention. Template ruler  600  can be added to the set of rulers  200  in order to help users to create specific shapes at different sizes on the master grid  300 , such as hexagons  601 , circles  602 , trapezoid shapes  603 , triangular shapes  604  or any other suitable geometrical shapes. In this embodiment, each geometrical shape in template ruler  600  is marked with central crossing lines to help users to draw in accordance with the texture of master grid  300 . 
       FIG. 6B-61  schematically illustrate the steps of preparing a master grid (e.g., such as mater grid  300 ) by using the template ruler  600  of  FIG. 6A , according to an embodiment of the present invention. The preparation of the master grid  300  starts at  FIG. 6B  and ends at  FIG. 61 . 
       FIG. 7A-7J  schematically illustrate different examples of template rulers in form of fractal-based shapes that can be used as part of the drawing toolset e.g., in addition to the set of rulers  200  and the template ruler  600  for drawing on the master grid  300 . 
     In another embodiment of the current invention, the drawing toolset is comprised of at least one pair of square cross-sectioned scale-less wooden rulers, wherein each two rulers of said pair are related by the ratio of their cross-sectional widths. In this embodiment, a mechanical attachment measures, e.g., latches, of a unique shape are utilized as an exclusive joining option of each two related rulers. 
     In another embodiment of the current invention, a single rectangular cross-sectioned ruler is utilized instead of a related pair of square cross-sectioned rulers, wherein two of said single ruler&#39;s longitudinal faces are of a related cross-sectional height and width, in a similar ratio and utilization as said related pair of rulers of the previous embodiment. 
     In an embodiment of the current invention, the said toolset is comprised of thin rulers, in which various shaped template cutouts are embedded to allow the uniform subdivision of the master grid with repetitive lines, or arcs. 
     Although embodiments of the invention have been described by way of illustration, it will be understood that the invention may be carried out with many variations, modifications, and adaptations, without exceeding the scope of the claims.