Abstract:
A technique for organizing a plurality of computers such that message broadcast, content searching, and computer identification of the entire collection or a subset of the entire collection may be performed quickly without the use of a controlling computer. The technique describes the creation, operation, and maintenance of a connection scheme by which each computer in the collection appears to be the top level of a hierarchical array. The maintenance of this hierarchical connection scheme allows one to many communications throughout the collection of computers to scale geometrically rather than linearly.

Description:
REFERENCE TO PRIOR APPLICATION  
       [0001]    The present application for patent claims priority from and hereby incorporates by reference the subject matter disclosed in U.S. patent application Ser. No. 09/887,391, filed on Jun. 22, 2001. 
     
    
     
       BACKGROUND OF THE INVENTION  
         [0002]    1. Technical Field of the Invention  
           [0003]    This invention relates to the fields of computer communications and computer networking.  
           [0004]    2. Description of Related Art  
           [0005]    The invention describes a means of coordinating a plurality of computers physically connected to a network. The invention allows rapid broadcast and search of the hosts using distributed control.  
           [0006]    Such a system is an improvement over existing centrally controlled coordination in the areas of security, attack resistance, robustness, speed, and scalability.  
           [0007]    Physical vs. Logical Organization  
           [0008]    The invention may be used by any computer possessing a means to communicate one to another with all other computers to be coordinated.  
           [0009]    The invention works by arranging the physically connected computers into a virtual hierarchy that may be efficiently searched and to which messages may be broadcast.  
           [0010]    Prior Art—Centralized Control  
           [0011]    A collection of computers possessing the ability to communicate one to another may be coordinated by a controlling computer. The controlling computer can maintain a list of network addresses of the computer collection. The controlling computer can maintain a list describing the contents available on each computer in the collection. The controlling computer can also maintain a list a names or other identifying characteristics of each computer in the collection.  
           [0012]    The controlling computer may broadcast a message to all the coordinated computers by reading its list of network addresses and creating and sending a message to each computer in the list. The controlling computer may respond to a query regarding the contents available in the collection of computers by searching its list of contents. When a content match is found, the controlling computer can provide the network address of the computer possessing the content.  
           [0013]    The controlling computer may respond to a query regarding the name or other identifying characteristic of a computer in the collection by searching its list of names or other identifying characteristics of each computer in the collection. When a match to the computer name or other identifying characteristic is found, the controlling computer can provide the network address of the computer in the collection matching the desired name or other identifying characteristic.  
           [0014]    Disadvantages of Centralized Control  
           [0015]    1. Scalability  
           [0016]    2. Security  
           [0017]    3. Failure sensitivity  
           [0018]    Scalability  
           [0019]    A controlling computer can coordinate a finite number of computers. The amount, of computing power increases linearly with the number of computers to be coordinated.  
           [0020]    At some point, the controlling computer will be unable to coordinate any more computers and the collection of computers must cease increasing.  
           [0021]    Security  
           [0022]    All communications between the collection of computer is coordinated by the controlling computer. A successful security attack on the controlling computer will disable all coordinated communications with the collection of computers.  
           [0023]    Failure Sensitivity  
           [0024]    Similarly, a software failure or hardware failure on the single controlling computer can disable coordinated communications with the entire collection of computers.  
           [0025]    Prior Art—Hierarchical Organizations  
           [0026]    A logical communication hierarchy of computers may be created with a single host at the top of the logical hierarchy and two or more computers at the next level. Each one of the computers at the second level is logically connected to two or more computers. Each of the computers at the third level is logically connected to two or more computers, and so on.  
           [0027]    In the simplest case each computer is connected to a single host going up the hierarchy and to two computers going down the hierarchy. The top level of the hierarchy has a single computer. The second level has two computers. The third level has four computers. The fourth level has eight computers. Each successive logical level contains the next power of 2 number of computers.  
           [0028]    The total number of computers in the hierarchy is the sum of the computers at each of the N levels in the hierarchy. For example in the simple sample just described, the fifth level would contain 32 computers and the entire hierarchy would contain 63 computers.  
           [0029]    The tenth level of a ten level hierarchy would contain 1024 computers and the entire hierarchy would contain 2047 computers. The equation describing the total number of computers in such a network is 2*(2 power N) −1. Where N is the number of levels.  
           [0030]    Advantage of Hierarchical Organizations  
           [0031]    A virtual hierarchy such as that described above may broadcast a message from the top level computer to all computers in the hierarchy is an amount of time equivalent to:  
           [0032]    N*(average message transit time).  
           [0033]    For example, in an Internet environment, the message delay might be 10 msec. To broadcast a message to all computers in a ten level hierarchy containing 2047 computers would take 100 msec.  
           [0034]    To broadcast a message to all computers in a twenty level hierarchy containing 2,097,151 computers would take only 200 msec.  
           [0035]    Without a hierarchy, serially sending a message to 2 million computers would require 2,097,151*(average message transit time).  
           [0036]    Disadvantages of Hierarchical Organization  
           [0037]    1. Inflexibility  
           [0038]    2. Insecurity  
           [0039]    3. Failure sensitivity  
           [0040]    Inflexibility  
           [0041]    A hierarchy is great for broadcasting a message from a constant fixed computer to a hierarchy of constant fixed computers. Should a message require broadcasting from any other computer than that at the top of the hierarchy, other mechanisms must be used such as passing the message upward to the top and then broadcasting it downward from the top of the hierarchy.  
           [0042]    Insecurity  
           [0043]    A hierarchy is progressively more vulnerable to disruption the closer to the top of the hierarchy one gets. In fact, if an attack were launched on the top computer of the hierarchy rendering it inoperable, the entire hierarchy would be rendered inoperable.  
           [0044]    Failure Sensitivity  
           [0045]    Similarly, each computer in a hierarchy is connected to two or more computers beneath it. Each of them is connected to two or more computers and so on. Should a single computer in a hierarchy fail, all the computer connected beneath it in the hierarchy would be unable to communicate.  
         SUMMARY OF THE INVENTION  
         [0046]    Some of the objectives of the invention are to provide a collection of computers with:  
           [0047]    (a) the ability to perform one to many broadcast originating from any computer in the collection without requiring a fixed hierarchical organization;  
           [0048]    (b) the ability to search all computers in the collection for specific content without requiring a central controlling computer;  
           [0049]    (c) the ability to locate a specific computer in the collection using a name or other identifying characteristic without requiring a central controlling computer;  
           [0050]    (d) the ability to self organize itself so broadcast and searching may be performed in an optimal manner;  
           [0051]    (e) the ability to self organize itself in the presence of changing computer network addresses so broadcast and searching may be performed in an optimal manner;  
           [0052]    (f) the ability to continue broadcast and searching functions in the presence of a security attack which disables a plurality of computers in the collection.  
           [0053]    (g) the ability to repair itself and continue broadcast and searching functions in the presence of simultaneous failure of a plurality of computers in the collection.  
           [0054]    Further objectives will become apparent from a consideration of the ensuing description and drawings. 
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0055]    For a more complete understanding of the present invention, reference is made to the following detailed description taken in conjunction with the accompanying drawings wherein:  
         [0056]    [0056]FIG. 1A to  1 B show a typical physical means of computers communicating one to another compared to a logical means of communicating for the same computers.  
         [0057]    [0057]FIG. 2 shows a typical embodiment of the invention using a quadrilateral configuration for the collection of computers.  
         [0058]    [0058]FIG. 3A and 3B show a computer&#39;s neighbors and the linking of neighbors in the collection of computers.  
         [0059]    [0059]FIG. 4 shows a typical embodiment of the invention using a hexagonal configuration for the collection of computers.  
         [0060]    [0060]FIGS. 5A to  5 C show the virtual hierarchy created by a typical embodiment of the invention using a quadrilateral configuration for the collection of computers.  
         [0061]    [0061]FIG. 6 shows the progression of a broadcast message originating from the top computer of the hierarchy.  
         [0062]    [0062]FIG. 7A and 7B show a new computer being added to the collection of computers.  
         [0063]    [0063]FIG. 8A and 8B shows a non-optimized view of a quadrilateral configuration for the collection of computers and an optimized view of the same collection of computers.  
         [0064]    FIGS.  9 A- 1  to  9 P show the self organizing states of a quadrilateral configuration for the collection of computers.  
         [0065]    [0065]FIGS. 10A to  10 C show a view of a quadrilateral configuration with three missing computers.  
         [0066]    [0066]FIG. 11 shows the organization of computers with a subset of computers performing caching.  
                                         Reference Numerals in Drawings                                10   logical middle of the collection of computers       11   top computer of a hierarchy       12,13,14,15,   computers       16,17,18,19,       20,21,22,23       24   physical means of communication       25   logical means of communication       26   radial       27   indirect radial       28   found computer       29   disabled computer       30   collection edge       31   logical connection       32   new computer       33   caching computer       34   searching computer       40   head       41   right hand       42   toe       43   left hand       44   WEBcast server       45   WEBcast player       46   low bandwidth computer       47   high bandwidth computer       48   new low bandwidth computer       49   string of high bandwidth computers       50   last computer in a string of low bandwidth computers       51   Internet cloud       52   gateway router       53   LAN connected master computer       54   LAN connected slave computer       55   local area network (LAN)       56   inbound TCP/IP stream on LAN       57   rebroadcast UDP stream on LAN                  
 
     
    
     DETAILED DESCRIPTION OF THE INVENTION  
       [0067]    Reference is now made to the Drawings wherein like reference characters denote like or similar parts throughout the various Figures.  
         [0068]    Description-FIGS.  1  to  3   
         [0069]    Each computer  10 , 12 , 13 , 14 , 15  in the collection possesses a physical means  24  to communicate one to another as illustrated in FIG. 1A. The physical means of communication may be reorganized to produce a logical means to communicate  25  one to another as illustrated in FIG. 1B.  
         [0070]    In an Internet embodiment, FIG. 1A would consist of computers physically connected via local area networks, routers, and the Internet backbone. In an Internet embodiment, FIG. 1B would consist of computers logically connected via (IP) Internet Protocol addresses.  
         [0071]    The present invention is primarily directed to the logical configuration of a computer network, irrespective of the particular physical means of communication between computers in the network. A typical embodiment of the invention in a quadrilateral configuration is illustrated in FIG. 2. The logical middle  10  of the collection possesses a logical means to communicate  25  to four neighbor computers  12 , 13 , 14 , 15  that comprise a concentric square. Each computer in the collection possesses a logical means to communicate  25  to four neighbors. The concentric square consisting of four computers  12 , 13 , 14 , 15  is in turn logically connected with the concentric square consisting of eight computers  16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 . The collection of computers ends at the collection edge  30 .  
         [0072]    The logical means to communicate  25  is defined by a neighbor relationship. Each computer possesses links to four neighbors. FIG. 3A illustrates each computer&#39;s neighbors as neighbor 0   40 , neighbor 1   41 , neighbor 2   42 , and neighbor 3   43 . Neighbor 1   41  is to the right of (or counterclockwise from) neighbor 0   40 , neighbor 2   42  is to the right of (or counterclockwise from) neighbor 1   41 , and neighbor 3   43  is to the right of (or counterclockwise from) neighbor 2   42 .  
         [0073]    In FIG. 3B the neighbor 0 s  40  of four computers  12 , 13 , 14 , 15  point to the logical center  10  of the collection. The neighbor 2 s  42  of these computers  12 , 13 , 14 , 15  point to four more computers  16 , 18 , 20 , 22 , and so on. In addition, the neighbor 1 s  41  of these computers  12 , 13 , 14 , 15  point to four more computers  17 , 19 , 21 , 23 , and so on.  
         [0074]    The neighbor 2   42  to neighbor 0   40  configuration of the computers emanating from the logical center  10  of the collection may be considered radials  26 . The radials  26  pass through the computers at the vertices of the concentric quadrilaterals. The neighbor 0 s  40  of computers on a radial point toward the logical middle of the collection of computers. The neighbor 2 s  42  of computers on a radial point toward the collection edge  30 .  
         [0075]    The neighbor 1   41  of every computer on a radial  26  point to a line of neighbor 2   42  to neighbor 0   40  relationships which form indirect radials  27 . The neighbor 0 s  40  of computers on an indirect radial  27  point toward a radial  26 . The neighbor 2 s  42  of computers on an indirect radial  27  point toward the collection edge  30 . Generally, the neighbor relationships are used for logically organizing the computers, while the radials  26  and indirect radials are used for disseminating information throughout the collection of computers.  
         [0076]    A typical embodiment of the invention in a hexagonal configuration is illustrated in FIG. 4. As will be appreciated by persons of ordinary skill in the art, the hexagonal configuration possesses six radials  26  emanating from the logical center  10  of the collection, while indirect radials  27  generally emanate from a neighbor  2  (out of a total of six neighbors) of every computer on a radial  26 . Although the invention is described in connection with a quadrilateral or hexagonal configuration, configurations with any even plurality of sides are possible in accordance with the invention. Three dimension configurations are also possible. For example, a spherical implementation that encompasses the entire collection of computers is possible. Such an implementation can be used to prevent “orphaned” computers regardless of which computer is serving as the top computer  11  at any given time. The more sides in the configuration, the more states exist in managing the collection of computers and the faster the broadcast and search of the entire collection may be performed. In any event, it will be recognized that, among other things, the orientation of the indirect radial depends on the particular configuration.  
         [0077]    Operation-FIGS.  5  to  7   
         [0078]    The invention creates a logical organization in which each and every computer in the collection appears to be at the top of a hierarchy formed by concentric polygons. For purposes of describing the invention, the logical middle  10  of the collection of computers corresponds to the geometrical center, while the top computer  11  in the hierarchy represents a location at which a search or broadcast originates. As a result, the top computer  11 , at any given time, changes based on which computer in the overall hierarchy is acting as a source of a broadcast, search, or other dissemination of information throughout the network or a portion thereof. FIG. 5A illustrates a hierarchy emanating from the top computer  11  in the hierarchy through a collection of computers  12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23  organized into concentric squares. In the example illustrated by FIG. 5A, the top computer  11  in the hierarchy is also the logical middle  10  of the collection of computers.  
         [0079]    In the case of the quadrilateral configuration, the number of computers in the concentric squares increases by four from concentric square to concentric square. The first square surrounding the top computer  11  in the hierarchy contains four computers  12 , 13 , 14 , 15 . The next concentric square contains eight computers  16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 . The next concentric square contains twelve computers, and so on.  
         [0080]    [0080]FIG. 5B illustrates a hierarchy emanating from the top computer  11  in the hierarchy through a collection of computers  12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23  organized into concentric squares. In the example illustrated by FIG. 5B, the top computer  11  in the hierarchy is not the logical middle  10  of the collection of computers.  
         [0081]    The number of computers in the concentric squares increases by four from concentric square to concentric square. The first square surrounding the top computer  11  in the hierarchy contains four computers  12 , 13 , 14 , 15 . The next concentric square contains eight computers  16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 . The next concentric square (not fully shown) contains twelve computers, and so on.  
         [0082]    [0082]FIG. 5C illustrates a hierarchy emanating from the top computer  11  in the hierarchy through a collection of computers  12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 , 20 , 21 , 22 , 23  organized into concentric squares. In the example illustrated by FIG. 5C, the top computer  11  in the hierarchy resides on the collection edge  30 .  
         [0083]    The number of computers in the concentric squares increases by four from concentric square to concentric square except computers residing on the collection edge  30  which do not possess a complete square of neighbors. In this case, therefore, the first square surrounding the top computer  11  in the hierarchy contains two computers  12 , 13 . The next concentric square contains five computers  16 , 17 , 18 , 19 , 20 . The next concentric square (not fully shown) contains six computers. The next concentric square contains nine computers, and so on.  
         [0084]    Message Broadcast  
         [0085]    One-to-many message broadcast may efficiently be performed by the collection of computers as each computer passes the broadcast to either one or two more computers in the next concentric polygon. FIG. 6 illustrates the rapid increase in number of computers reached with the addition of each concentric polygon.  
         [0086]    Another look at FIG. 5A illustrates how a broadcast operation may use this configuration to relay a message from the top of the hierarchy out through the concentric squares of computers. The message is initially passed from the top computer  11  in the hierarchy to the four computers in the surrounding concentric square  12 , 13 , 14 , 15 . In the example illustrated by FIG. 5A, the top computer  11  in the hierarchy is also the logical middle  10  of the collection of computers.  
         [0087]    The message is then passed by the computers at the four corners of the square  12 , 13 , 14 , 15  to the eight computers in the surrounding concentric square  16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 . The message is then passed to the computers in the next concentric square and so on.  
         [0088]    Another look at FIG. 5B illustrates how a broadcast operation may use this configuration to relay a message from the top of the hierarchy out through the concentric squares of computers. The message is initially passed from the top computer  11  in the hierarchy to the four computers in the surrounding concentric square  12 , 13 , 14 , 15 . In the example illustrated by FIG. 5B, the top computer  11  in the hierarchy is not the logical middle  10  of the collection of computers.  
         [0089]    The message is then passed by the computers at the four corners of the square  12 , 13 , 14 , 15  to the eight computers in the surrounding concentric square  16 , 17 , 18 , 19 , 20 , 21 , 22 , 23 . The message is then passed to the computers in the next concentric square and so on.  
         [0090]    Another look at FIG. 5C illustrates how a broadcast operation may use this configuration to relay a message from the top of the hierarchy out through the concentric squares of computers. In the example illustrated by FIG.  5 C, the top computer  11  in the hierarchy resides on the collection edge  30 . Computers residing on the collection edge  30  do not possess a complete square of neighbors.  
         [0091]    The message is initially passed from the top computer  11  in the hierarchy to the two computers  12 , 13  in the surrounding but incomplete concentric square. The message is then passed to the five computers  12 , 13 , 14 , 15 , 16 .in the surrounding but incomplete concentric square. The message is then passed to the computers in the next surrounding but incomplete concentric square and so on.  
         [0092]    As can be seen in both FIGS. 5B and 5C, there is a possibility that one or more computers will be orphaned (e.g., computer  17  in FIG. 5C), at least with respect to a message that does not originate from a top computer  11  at the logical middle  10  of the collection of computers. The existence of such orphaned computers, however, does not create a problem in most applications. Preferably, although not necessarily, a broadcast will originate from a top computer  11  that is at the logical middle of the collection of computers. Thus, the broadcast will reach all of the computers in the collection. On the other hand, messages that originate from a top computer  11  that is not at the logical middle  10  frequently do not need to reach all of the computers in the collection. For example, a search for a specified file or application normally does not have to be exhaustive because there is often sufficient redundancy in a computer network to locate a subject of a search without querying every computer in the network.  
         [0093]    Searching the Collection of Computers for Content  
         [0094]    A search of content residing on computers in the collection may be performed if the message passed through the hierarchy contains search parameters and the network address of the requesting computer. The message will radiate through the hierarchy causing each computer in the collection to search its local content. When a computer being searched finds a match to the searched content, that computer contacts the network address of the requesting computer and identifies the network address where the content is located.  
         [0095]    Locating a Computer by a Name or Other Identifying Characteristic.  
         [0096]    A computer in the collection of computers may be located by a name or other identifying characteristic if the message passed through the hierarchy contains the name or other identifying characteristic and the network address of the requesting computer. The message will radiate through the hierarchy causing each computer in the collection to compare the name or other identifying characteristic to its own name or other identifying characteristic.  
         [0097]    Initially Creating the Collection of Computers  
         [0098]    The collection of computers must begin with a single computer which will be the initial logical middle  10  of the collection of computers. The next four additions to the collection of computers will constitute the neighbor 0   40 , neighbor 1   41 , neighbor 2   42 , and neighbor 3   43  neighbors of the logical middle  10  of the collection of computers.  
         [0099]    Adding Additional Computers to the Collection of Computers  
         [0100]    In order to become part of the collection of computers, a computer must first find another computer which is part of the collection of computers.  
         [0101]    A computer can find to the collection of computers using several techniques including but not limited to:  
         [0102]    (a) Trying to attach to a known list of available computers in the collection of computers.  
         [0103]    (b) Trying to attach to a computer from a list of computers with which this computer has previously communicated.  
         [0104]    (c) Seeking a computer connected to the collection of computers by broadcasting queries to network addresses created from an algorithm such as a random number generator.  
         [0105]    When a new computer  32  locates a computer belonging to the collection of computers, the found computer  28  (see FIG. 7A) will reside either on a radial  26  or indirect radial  27 . The neighbor 2   42  of the found computer  28  will point toward the collection edge  30 . By following the found computer&#39;s  28  neighbor&#39;s neighbor 2 s  42  one after another, the collection edge  30  may be located. The new computer  32  is attached to the collection of computers at the edge  30 .  
         [0106]    [0106]FIG. 7A illustrates following a radial  26  from the found computer  28  to the collection edge  30  to attach a new computer  32 .  
         [0107]    [0107]FIG. 7B illustrates following an indirect radial  27  from the found computer  28  to the collection edge  30  to attach a new computer  32 .  
         [0108]    Self Organizing a Hierarchy  
         [0109]    The collection of computers may be searched more rapidly if it maintains itself as a symmetrical compact shape such as that illustrated in FIG. 8A rather than a collection of long thin strings as illustrated in FIG. 8B. For example, a message can be broadcast to all  25  members of the collection of computers illustrated in FIG. 8A within three hops from the logical middle  10  of the collection of computers. However a message requires fourteen hops to be fully broadcast to the members of the collection of computers illustrated in FIG. 8B.  
         [0110]    To maintain symmetrical compactness of the collected computers, each computer in the collection follows a goal seeking behavior illustrated in FIGS.  9 A- 1  to  9 H and generally defined as:  
         [0111]    (a) Orbit counter clockwise at the same level of concentric polygon until another computer is encountered;  
         [0112]    (b) Decay inward until another computer is encountered.  
         [0113]    The result of the above two rules applied by each computer in the collection will result in the creation of a logical network in the shape of a near perfect quadrilateral (or other polygon, depending on the configuration).  
         [0114]    Self Organizing States  
         [0115]    In the preferred embodiment, each unit follows the goal seeking behavior illustrated in FIGS.  9 A- 1  to  9 P through the logic of a state machine. A state machine is a logical mechanism that defines the existence of a plurality of physical or logical states of being and the occurrences necessary to change the mechanism from one state of being to another.  
         [0116]    For purposes of clarity, neighbor 0   40  may be referred to as N 0 . Similarly neighbor 1   41  may be referred to as N 1 , neighbor 2   42  may be referred to as N 2 , and neighbor 3   43  as N 3 . In some states, both the existence of a neighbor and existence of a neighbor&#39;s neighbor determine the state. In such instances, for clarity, the neighbor 0  of neighbor 0  is referred to as N 00 . Similarly the neighbor 2  of neighbor 1  is referred to as N 12 .  
         [0117]    [0117]FIG. 9A- 1  to  9 A- 4  illustrate the state diagram of the goal seeking behavior of an individual computer relative to the collection of computers of which it is a part. In particular, FIG. 9A- 1  to  9 A- 4  exemplify the possible state transitions at least for a quadrilateral configuration. These states, however, relate only to the logical organization of the computers with respect to the logical middle  10  and not to the identify or location, at any particular time, of the top computer  11 . For clarity, each computer in the collection of computers may exist in one of the following states based on the existence and state of its neighbor units and its proximity to a radial  26 :  
         [0118]    State  1  (illustrated in FIG. 9B)—The computer is searching for a found computer  28  in the collection of computers. Three strategies are used:  
         [0119]    (a) Search a pre existing list of network addresses of computers known to belong to the collection of computers.  
         [0120]    (b) Search a cache of network addresses of computer with which the searching unit communicated when previously connected to the collection of computers.  
         [0121]    (c) Use a brute force search of all possible network addresses of computers. In an embodiment using Internet addresses, the search will be made by generating random 32-bit numbers corresponding to Internet Protocol (IP) addresses and excluding the ranges of non routable IP addresses.  
         [0122]    The searching computer confirms location of a computer in the collection of computers by executing a handshake protocol consisting of the following exchange:  
         [0123]    (a) Searching Unit—“Are you connected to the collection of computers?” 
         [0124]    (b) Queried Unit—“Yes I am, no I am not, or I don&#39;t understand.” 
         [0125]    When the searching computer locates the collection of computers, its state becomes State  2 .  
         [0126]    State  2  (illustrated in FIG. 9C)—The computer has located the collection of computers and is attempting to locate the collection edge  30 . The computer follows the neighbor 2   42  neighbor links of the found computer  28  to locate the next closest computer to the collection edge  30 . The computer will continue to follow the neighbor 2   42  neighbor links of successive neighbors until a neighbor is found with no neighbor 2   42  link. A neighbor without a neighbor 2   42  link resides on the collection edge  30 .  
         [0127]    State  3  (illustrated in FIG. 9D)—The computer is located on the collection edge  30  and on a radial  26 . Since the computer is located on the collection edge  30 , the computer&#39;s neighbor 2   42  does not exist. Furthermore, as illustrated in FIG. 9D the neighbor 01  position is vacant.  
         [0128]    At the first opportunity, the computer will move into the neighbor 01  position thereby moving closer to the logical middle  10  of the collection of computers.  
         [0129]    State  4  (illustrated in FIG. 9E)—The computer is located on the collection edge  30  and therefore the computer&#39;s neighbor 2   42  does not exist. The computer is not located on the radial, but is touching it. The computer&#39;s neighbor 1   41  does not exist.  
         [0130]    At the first opportunity the computer will move into the neighbor 01  position thereby moving closer to the logical middle  10  of the collection of computers.  
         [0131]    State  5  (illustrated in FIG. 9F)—The computer is located on an indirect radial  27 . Neighbor 1   41  does not exist. Neighbor 2   42  does not exist, and the neighbor 01  position is filled.  
         [0132]    At the first opportunity the computer will move onto the indirect radial  27  behind the neighbor 01  position thereby moving closer to the logical middle  10  of the collection of computers.  
         [0133]    State  6  (illustrated in FIG. 9G)—The computer is located on an indirect radial  27 . Neighbor 1   41  does not exist. Neighbor 2   42  does not exist. The neighbor 01  position is vacant.  
         [0134]    At the first opportunity the computer will move into the neighbor 01  position.  
         [0135]    State  7  (illustrated in FIG. 9H)—The computer is located on an indirect radial  27 , but its Neighbor 1   41  is a radial  26 . Neighbor 2   42  does not exist.  
         [0136]    At the first opportunity the computer will move onto the radial  26  behind the neighbor 01  position.  
         [0137]    State  8  (illustrated in FIG. 9I)—The computer is located on an indirect radial  27 . The N 12  position is vacant.  
         [0138]    At the first opportunity the computer will move into the N 12  position.  
         [0139]    State  9  (illustrated in FIG. 9J)—The computer is located on an indirect radial  27 . Neighbor 1   41  exists and Neighbor 1   41  is on a radial  26 .  
         [0140]    This is a stable state. No movement is possible without other neighbors moving first.  
         [0141]    State  10  (illustrated in FIG. 9K)—The computer is located on a radial  26 . Either Neighbor 1   41  or Neighbor 2   42  exist preventing movement.  
         [0142]    This is a stable state. No movement is possible without other neighbors moving first.  
         [0143]    State  11  (illustrated in FIG. 9L)—The computer is located on an indirect radial  27 . Either Neighbor 2   42  or N 12  exist preventing movement. One neighbor must exist to prevent movement.  
         [0144]    This is a stable state. No movement is possible without other neighbors moving first.  
         [0145]    State  12  (illustrated in FIG. 9M)—The computer is located on a radial  26 . Neighbor 0   40  is vacant. Either neighbor 1   41  or neighbor 3   43  exist so there is a way to link to the neighbors of the missing neighbor 0   40 .  
         [0146]    At the first opportunity, the computer will move into the vacant neighbor 0   40  position.  
         [0147]    State  13  (illustrated in FIG. 9N)—The computer is located on an indirect radial  27  but is touching a radial  26 . Neighbor 0   40  is vacant. Either neighbor 1   41  or neighbor 3   43  exist so there is a way to link to the neighbors of the missing neighbor 0   40 .  
         [0148]    At the first opportunity, the computer will move into the vacant neighbor 0   40  position.  
         [0149]    State  14  (illustrated in FIG. 9O)—The computer is located on an indirect radial  27 . Neighbor 0   40  is vacant. Either neighbor 1   41  or neighbor 3   43  exist so there is a way to link to the neighbors of the missing neighbor 0   40 .  
         [0150]    At the first opportunity, the computer will move into the vacant neighbor 0   40  position.  
         [0151]    State  15  (illustrated in FIG. 9P)—The computer is located on an indirect radial  27 . Neighbor 0   40  exists. Neighbor 1   41  is vacant. Neighbor 2   42  is vacant. Neighbor 01  is vacant.  
         [0152]    At the first opportunity, the computer will move into the vacant neighbor 01  position.  
         [0153]    Bandwidth Availability Sorting  
         [0154]    After entering one of the stable states, each computer will compare its available network bandwidth with that of its Neighbor 0   40 . If the computer&#39;s available network bandwidth is greater than that of its Neighbor 0   40 , the computer and its Neighbor 0   40  will swap places in the collection of computers.  
         [0155]    The effect of the computers swapping places is that the collection of computers becomes sorted by available network bandwidth. The computers with the greatest amount of available network bandwidth will be closest to the logical middle  10  of the collection of computers.  
         [0156]    Failure Recovery  
         [0157]    The collection of computers can rebuild the connections necessary for broadcast and searching in the event a computer in the collection becomes disabled by a hacking attack or ceases functioning due to technical or network problems.  
         [0158]    [0158]FIG. 10A illustrates the collection of computers following the disabling of several computers. The disabled computers  29  are unable to pass along broadcast messages and must therefore be replaced. FIGS.  10 B through FIG. 10C illustrate the process by which the remaining computers in the collection reorganize the remaining computers.  
         [0159]    Once the disabled computers have been removed from the interior of the collection of computers, the reorganization will continue to rebuild the symmetrical compactness illustrated in FIGS. 9B to  9 K.  
         [0160]    Computer Locking  
         [0161]    Each computer in the collection of computers functions as an autonomous unit asynchronously related to its neighbors. In order to synchronize the movements of computers to different positions in the collection, it is necessary to prevent race conditions or ambiguous situations which could occur should a computer make a decision based on the states of its neighbors and move its position at the same time the neighbor&#39;s states are changing.  
         [0162]    For this reason a computer in the collection will lock its neighbors from making any moves until it:  
         [0163]    (a) Senses the state of its neighbors.  
         [0164]    (b) Decides if a move is necessary.  
         [0165]    (c) Performs the move.  
         [0166]    The lock has a timeout to prevent a never ending lock should the locking computer be disabled in some way before releasing the lock.  
         [0167]    Limiting Broadcast or Searches  
         [0168]    In some cases it may be desirable to limit message broadcast or content searches to a subset of the collection of computers. In that case, the broadcast or search may be limited by specifying the number of concentric rings to search relative to the computer requesting the broadcast or search.  
         [0169]    Bandwidth Throttling  
         [0170]    If all computers in the collection of computers do comprehensive message broadcasts or content searches, the communications means logically connecting the computers may become congested.  
         [0171]    Any computer in the collection of computers can view the sum total of the communications traffic between all computers. Should the communications traffic begin to approach to capacity of the logical communications channel a means of reducing the traffic must be considered.  
         [0172]    The following technique is fair to each user of the collection of computers, rewards efficient use, and penalizes overused. Before each broadcast or search is initiated, each and every computer in the collection of computers will perform the following before performing a broadcast or search:  
         [0173]    (a) Measure the logical communication channel bandwidth utilization.  
         [0174]    (b) If the utilization is below a predetermined desired threshold, proceed with the broadcast or search, otherwise,  
         [0175]    (c) Calculate the time since the last search.  
         [0176]    (d) If the time since the last search is less than a predetermined amount, insert a predetermined delay in front of the request for broadcast or search which is related to the amount the communications channel bandwidth utilization exceed the predetermined desired threshold.  
         [0177]    The above algorithm will assure that broadcast and search performance will degrade gracefully under heavy use of the collection of computers.  
         [0178]    Caching Computers  
         [0179]    If the collections of computers large enough and search demands frequent enough to fill the logical communication channel bandwidth, a more efficient use of bandwidth is possible by defining a subset of the collection of computers to perform a caching function. The computers chosen to perform the caching function are those with faster network connections.  
         [0180]    [0180]FIG. 11 illustrates the preferred embodiment of the caching organization. In FIG. 11 the caching computers  33  are organized into a collection of computers similar to the collection of non-caching computers shown in FIG. 2. Each caching computer  33  is the logical middle of a collection of computers. As such, the caching computers  33  and the underlying collections of computers represent a hierarchy within a hierarchy or, in an alternative way of looking at it, a simple type of three dimensional configuration. Each caching computer  33  caches the content index and name or other identifying characteristic of each computer in the collection of computers which surround the caching computer  33 .  
         [0181]    Each caching computer  33  is also a member of the collection of caching computers. The collection of caching computers self organizes itself so that the computer with the most available network bandwidth resides at the logical middle  10  of the collection of caching computers.  
         [0182]    Each caching computer in the collection of caching computers compares its available network bandwidth with the network bandwidth of its neighbor nearer the logical middle of the collection of caching computers. If the caching computer possesses more available network bandwidth than its neighbor, the computer and its neighbor swap positions in the collection of caching computers.  
         [0183]    Each caching computer in the collection continuously performs the compare and swap operation, such that the collection of caching computer is always sorted with the computer having the most available network bandwidth located at the logical middle of the collection of caching computer and each concentric polygon contains computers with successively less available network bandwidth.  
         [0184]    Adding a Caching Computer  
         [0185]    A caching computer is added to the collection of caching computers in much the same way as a computer is added to the collection of computers as described in Self organizing a Hierarchy and illustrated in FIGS.  9 A- 1  to  9 P.  
         [0186]    A new caching computer can find the collection of caching computers using several techniques including but not limited to:  
         [0187]    (a) Trying to attach to a known list of available caching computers in the collection of caching computers.  
         [0188]    (b) Trying to attach to a caching computer from a list of caching computers with which this computer has previously communicated.  
         [0189]    (c) Seeking a computer connected to the collection of caching computers by broadcasting queries to network addresses created from an algorithm such as a random number generator.  
         [0190]    When a new caching computer locates a computer belonging to the collection of caching computers the found caching computer will reside either on a radial  26  or an indirect radial  27 . The tail  41  of the found caching computer  28  will point toward the collection edge  30 . By following the found caching computer&#39;s  28  neighbor&#39;s tail to head one after another, the collection edge  30  may be located. The new caching computer is attached to the collection of caching computers at the edge  30 .  
         [0191]    To maintain symmetrical compactness of the collected computers, each computer in the collection follows a goal seeking behavior as illustrated in FIG. 9:  
         [0192]    (a) Orbit counter clockwise at the same level of concentric polygon until another computer is encountered;  
         [0193]    (b) Decay inward until another computer is encountered.  
         [0194]    A newly added caching computer will have a large amount of available network bandwidth, and as such will swap positions with its neighbors until it reaches the logical middle of the collection of caching computers. Preferably, a newly added computer will be designated as a caching computer based on whether the newly added computer possesses an available amount of bandwidth greater than some threshold. Newly added computers that do not possess an amount of bandwidth over the threshold are added as non-caching computers.  
         [0195]    Adding a Non-caching Computer  
         [0196]    In a caching system, a new computer  32  locates the collection of computers and then follows the head to toe links until it reaches the logical middle  10  of its collection of computers. The logical middle will be a caching computer that also belongs to the collection of caching computers.  
         [0197]    The new computer  32  will follow the head to toe links of the collection of caching computers until it reaches the logical middle of the collection of caching computers.  
         [0198]    The new computer  32  will provide the caching computer with its network address, the index of its content, and its name or other identifying characteristics. The new computer  32  will then follow a radial  26  of the collection of non-caching computers attached to the logical middle of the collection of caching computers. The new computer  32  will attach itself to the edge  30  of the collection of computers and begin the self-organizing logic to seek a position.  
         [0199]    Self Balancing Cache  
         [0200]    Due to the bandwidth availability comparison logic, the computer at the logical middle of the collected caching computers will always be the caching computer with the most available bandwidth. New non-caching computers will always be added to the collection of non-caching computers attached to this caching computer.  
         [0201]    As more non-caching computers are added to the caching computer with the most available bandwidth, it will eventually have less available bandwidth than another caching computer in the collection of caching computers and be replaced at the middle of the collection of caching computers by a computer with more bandwidth available.  
         [0202]    In the above fashion, the collection of caching computers will always maintain an optimally balanced distribution of non-cached computers attached to each caching computer.  
         [0203]    Unavailable Computer  
         [0204]    From time to time, a caching computer will poll each of the computers in its collection of non-caching computers. When a computer that is a member of a collection of computers headed by a caching computer becomes unavailable or unusable through some sort of failure, the caching computer will remove the unavailable computers cached content index, name, and other identifying characteristics.  
         [0205]    Unavailable Caching Computer  
         [0206]    From time to time, a caching computer will fail to respond to communications from non-caching computers in its collection of computers. The caching computer will be replaced by one of the non-caching computers in its collection of computers using the algorithms illustrated in FIG. 9A- 1  to  9 P.  
         [0207]    Should there be no more non-caching computers available in the disabled caching computers collection of computers, the collection of caching computers will fill in the void using the logic illustrated in FIG. 9A- 1  to  9 P.  
         [0208]    Auto-update  
         [0209]    The invention embodies a feature by which a computer compares its version of software that controls the collection of computers to that of the neighbor  40 , 41 , 42 , 43  with which it is preparing to communicate. If the computer requesting the communication possesses a more recent version of the software that controls the collection of computers, then that version of software is transferred to the neighbor  40 , 41 , 42 , 43 .  
         [0210]    If the neighbor  40 , 41 , 42 , 43  to which communications is being requested posses a more recent version of the software that controls the collection of computers, then the more recent version of the software is transferred from the neighbor  40 , 41 , 42 , 43  to the computer requesting the communications.  
         [0211]    In this fashion, a software update applied to any computer in the collection of computers will propagate through the collection of computers at about the same rate as a message broadcast.  
         [0212]    Distributing Executables Across the Collection of Computers  
         [0213]    It is possible using the auto-update mechanism described above to distribute executable programs to all computers in the collection of computers.  
         [0214]    It is possible using the auto-update mechanism described above to distribute executable programs to a subset of all the computers in the collection of computers by limiting the distribution to computers within a fixed number of concentric polygons of the computer initiating the distribution.  
         [0215]    The computers receiving executable programs using the auto-update mechanism may be commanded to perform certain operations using the executable programs distributed using the auto-update mechanism including executing the programs to perform a calculation or other operation and returning a result to the computer initiating the distribution of the executable.  
         [0216]    Broadcast of Streaming Media  
         [0217]    One embodiment of the invention provides for the one to many broadcast of streaming media. Streaming media include but are not limited to WEB radio and corporate WEBcasts.  
         [0218]    Current broadcast technology requires the originator posses a large server and high speed network connection necessary to open the required channel to each and every destination as illustrated in FIG. 12. Therefore a doubling of destinations requires a doubling of the originator&#39;s network bandwidth.  
         [0219]    The invention offers an efficient means to broadcast streaming media by sharing the necessary bandwidth and computing power with each destination computer. FIG. 13 illustrates the streaming media possible with the collection of computers created by the invention.  
         [0220]    The advantages of the invention over existing solutions are:  
         [0221]    (a) The originator&#39;s network bandwidth need only be as large as that necessary for a single stream of the media.  
         [0222]    (b) The number of destinations may be increased irrespective of the bandwidth of the originator&#39;s network connection.  
         [0223]    (c) The number of destinations may be increased virtually without limit.  
         [0224]    Making a Streaming Media Connection  
         [0225]    A WEB radio station is an existing example of streaming media. With current technology, a user with a media player program contacts the station&#39;s WEB page, provides the user&#39;s network address, and requests to be connected to the station&#39;s streaming media server. The media server opens a connection and begins sending the media information to the user&#39;s media player at the user&#39;s network address. The media information is virtually the same as that sent to every other user.  
         [0226]    When using one embodiment of the invention, a user with a media player program and a program implementing the invention contacts the station&#39;s WEB page, provides the user&#39;s network address, and requests to be connected to the station&#39;s streaming media server. The station streaming media server is using a version of the invention.  
         [0227]    The media server directs the new user to the logical middle of the collection of computers  10 . The new user&#39;s computer  32  follows the protocol described in FIGS.  9 A- 1  to  9 P to attach to the collection of computers. Upon attachment to the collection of computers, the new computer  32  will begin receiving the streaming media from the neighbor to which its head  40  is attached.  
         [0228]    When yet another computer is attached to the new computer  32 , the new computer  32  will forward the streaming media to the added computer.  
         [0229]    When a Computer Disconnects or Becomes Unavailable  
         [0230]    When a computer in the collection of computers used to broadcast streaming media disconnects or otherwise becomes unavailable, the invention replaces the unavailable computer in the collection of computers using the protocol illustrated in FIGS. 10B and 10C.  
         [0231]    Bandwidth Requirements  
         [0232]    Each computer in the collection of computers requires an available outbound network bandwidth the same as the inbound network bandwidth of the streaming media. The exceptions are computers which reside on radials  26  which require twice the available outbound bandwidth as inbound bandwidth.  
         [0233]    [0233]FIG. 14A illustrates a representative embodiment of a high bandwidth computer array in accordance with the present invention. Computers that are members of the array of computers shown in FIG. 14A need to possess a network bandwidth connection equal to at least twice the bandwidth of the stream being distributed. Such computers are referred to in the following discussion as high bandwidth computers  47 . As will be recognized by those of ordinary skill in the art, the reason that the high bandwidth computers  47  need to possess a network bandwidth equal to at least twice the bandwidth of the stream being distributed is that each high bandwidth computer  47  needs to be able to relay messages received from its neighbor 0   40  to each of two other computers—its neighbor 1   41  and its neighbor 2   42 —when the high bandwidth computer  47  is located on a radial  26 . Although high bandwidth computers  47  that are located on an indirect radial  27  at any given time do not necessarily need to possess a network bandwidth equal to at least twice the bandwidth of the stream being distributed at that time, such high bandwidth computers  47  need to have this type of high bandwidth capacity because a high bandwidth computer  47  that at one time is located on an indirect radial  27  can subsequently move to a radial  26  as a result of the self organizing procedures discussed in connection with FIGS.  8 A- 9 P or as a result of the bandwidth availability sorting or failure recovery procedures discussed above.  
         [0234]    A Method of Streaming to Low Bandwidth Computers  
         [0235]    In some implementations, there may be low bandwidth computers  46  that do not possess a network bandwidth connection equal to at least twice the bandwidth of the stream being distributed or for which support of such bandwidth is undesirable. In these cases, a new topology may be created by connecting low bandwidth computers  46  to the high bandwidth computers  47  seen in FIG. 14A. FIG. 14B illustrates how low bandwidth computers  46  may be connected to high bandwidth computers  47  in a serial fashion much like Christmas tree lights. Each connected low bandwidth computer  46  need only relay a single stream to a single neighbor. In this embodiment, the high bandwidth computers  47  need to possess a network bandwidth connection equal to at least three times the bandwidth of the stream being distributed because each high bandwidth computer  47  needs to be able to relay messages received from its neighbor 0   40  to each of three other computers—its neighbor 1   41 , its neighbor 2   42 , and the first low bandwidth computer  46  in a serial string of low bandwidth computers  46 —at least when the high bandwidth computer  47  is located on a radial  26 . It will be recognized by those of ordinary skill in the art that high bandwidth computers  47 , when located on an indirect radial  27 , will generally utilize only twice the bandwidth of the stream being distributed, although such a computer may subsequently move to a radial  26 , as discussed above, where at least three times the bandwidth of the stream being distributed is necessary.  
         [0236]    Adding Low Bandwidth Computers to High Bandwidth Computers  
         [0237]    When a computer attempts to locate a found high bandwidth computer as described in connection with FIG. 9B it exchanges a series of messages with the high bandwidth computer  47  to determine if it is high or low bandwidth. If the test determines that the connecting computer is a low bandwidth computer  46 , the computer is attached to the string of connected computers attached to the high bandwidth computer  47 . The new low bandwidth computer  48  attaches itself in the position closest to the high bandwidth computer  47  as shown in FIG. 15. Existing low bandwidth computers  46  formerly attached to the high bandwidth computer  47  are pushed down one level. In an alternative embodiment, depending on the desired performance characteristics, new low bandwidth computers  46  can instead be attached to the end of the string of connected computers (i.e., to become the last computer  50  in the string (see FIG. 16B)).  
         [0238]    Allocating Low Bandwidth Computers to High Bandwidth Computers  
         [0239]    To maintain the lowest average delay from a media server (or top computer  11 ) to receiving computers, a means of allocating slower bandwidth computers to the higher bandwidth computers can be used. A balanced collection of computers will possess the equivalent delay from the media server  11  to the last computer  50 , which also represents a collection edge, on the Christmas tree string attached to each high bandwidth computer  47 .  
         [0240]    A dotted line in FIG. 16A indicates a string  49  of high bandwidth computers  47 . FIG. 16B shows a view of low bandwidth computers  46  attached to high bandwidth computers  47  that make up the string  49  of high bandwidth computers  47 .  
         [0241]    The Importance of Balance  
         [0242]    The number of computers in the broadcast path from the logical middle  10  of the collection of computers to the last computer  50  in a string of low bandwidth computers  46  determines the delay of the broadcast message as well as the probability of the message being lost.  
         [0243]    A path consisting of a few computers will deliver the broadcast message faster and with less probability of being lost than a path consisting of many computers. For this reason it is desirable to minimize the average path from the logical middle  10  of the collection of computers to the last computer  50  in a string of low bandwidth computers.  
         [0244]    A perfectly balanced collection of high bandwidth computers  47  will show the same number of attached low bandwidth computers  46  connected to each high bandwidth computer  47  in the same concentric polygon as shown in FIG. 5A. Furthermore, the number of low bandwidth computers  46  attached to a high bandwidth computer  47  will decrease by one when moving to the next larger concentric polygon.  
         [0245]    The string  49  of high bandwidth computers  47  and attached low bandwidth computers  46  shown in FIG. 16B is unbalanced.  
         [0246]    Means of Balancing Distribution of Low Bandwidth Computers Attached to High Bandwidth Computers  
         [0247]    To achieve balance each high bandwidth computer  47  compares the number of low bandwidth computers  46  connected to it plus one to the number of low bandwidth computers  46  connected to its neighbor 0   40 . Adding one count recognizes that a high bandwidth computer  47  is one computer delay further away from the broadcast server  11  than its neighbor 0   40 .  
         [0248]    If the computer doing the comparison determines that the number of low bandwidth computers  46  connected to it plus one is greater than the number of low bandwidth computers  46  connected to its neighbor 0  computer  40 , one low bandwidth computer  46  is transferred to the string of low bandwidth computers  46  connected to its neighbor 0   40  from the string of low bandwidth computers  46  connected to the computer doing the comparison.  
         [0249]    If the computer doing the comparison determines that the number of low bandwidth computers  46  connected to it plus one is less than the number of low bandwidth computers  46  connected to its neighbor 0  computer  40 , one low bandwidth computer  46  is transferred to the string of low bandwidth computers  46  connected to the computer doing the comparison from the string of low bandwidth computers  46  connected to its neighbor 0   40 .  
         [0250]    The one added to the computer doing the comparison will guarantee that as one traverses the array of connected computers from the media server  10  toward the edge  30  of the array, the length of the strings of low bandwidth computers  46  will decrease.  
         [0251]    In the preferred embodiment, when a transfer of a low bandwidth computer  46  is necessary, the low bandwidth computer  46  closest to the high bandwidth computer  47  will be removed. A high bandwidth computer  47  receiving a low bandwidth computer  46  will attach the transferred low bandwidth computer  46  to the position in the string closest to the high bandwidth computer  47 .  
         [0252]    The result of balancing is illustrated in FIG. 16C.  
         [0253]    Error Recovery for Strings of Low Bandwidth Computers  
         [0254]    Should a low bandwidth computer  46  in the string of computers fail or be unable to communicate, the neighbor 2   42  of the stricken computer will disconnect itself from the failed computer and its own nighbor 2   42  and attempt to reconnect to the high bandwidth computer as shown in FIG. 17. The neighbor 2   42  disconnection will cause each computer on the string to disconnect and reconnect in succession to the high bandwidth computer.  
         [0255]    In the illustrative example shown in FIG. 17, a string of four low bandwidth computers  46 ( 1 )-( 4 ) is connected to a high bandwidth computer  47  at step  1 . At step  2 , the second low bandwidth computer  46 ( 2 ) fails. As a result, the third and fourth low bandwidth computers  46 ( 3 ) and  46 ( 4 ) lose contact with the collection of computers. At step  3 , the third and fourth low bandwidth computers  46 ( 3 ) and  46 ( 4 ) disconnect from one another, and the third low bandwidth computer  46 ( 3 ) attempts to reconnect to the high bandwidth computer  47 . Upon reconnecting, the first low bandwidth computer  46 ( 1 ) is moved down in the reconstructed string and becomes the neighbor 2   42  of the third low bandwidth computer  46 ( 3 ). After the third low bandwidth computer  46 ( 3 ) reconnects to the high bandwidth computer, the fourth low bandwidth computer  46 ( 4 ) attempts to reconnect to the high bandwidth computer  47  at step  4 . Upon reconnecting, the third low bandwidth computer  46 ( 3 ) is moved down in the reconstructed string and becomes the neighbor 2   42  of the fourth low bandwidth computer  46 ( 4 ) as shown in step  5 .  
         [0256]    If, however, a disconnected computer  46  is unable to reconnect to the high bandwidth computer  47  to which it was previously associated, the disconnected computer  46  will attempt to locate a found computer using the strategies described in State  1 .  
         [0257]    LAN Multicast  
         [0258]    In another embodiment of the invention, some of the computers in the collection of computers may be connected via a local area network. A local area network (LAN) is a high speed electronic connection between computers located in close physical proximity. A local area network will not consist of components of a public network such as the Internet.  
         [0259]    When multiple computers on a LAN request connection to the array of computers, multiple redundant broadcast streams will be present on the LAN. As shown in FIG. 18, the redundancy may be removed by use of LAN multicast working in concert with the invention.  
         [0260]    A LAN connected master computer  53  may be either a high bandwidth computer  47  or a low bandwidth computer  46  as shown in FIG. 14A and FIG. 14B. The LAN connected master computer  53  connects to the collection of computers via an Internet cloud  51  through a gateway router  52 .  
         [0261]    LAN Multicast allows a single User Datagram Protocol (UDP) packet to be sensed by all the computers connected to a LAN.  
         [0262]    The LAN connected computer receives a broadcast through the following mechanism:  
         [0263]    1. When a LAN connected computer attempts to locate a broadcast stream from a specific logical middle of the collection of computers  10 , it first sends a multicast UDP packet requesting the Internet Protocol (IP) and port address of a LAN connected master computer  53  to all computers connected to the LAN  55 .  
         [0264]    2. If a LAN connected master computer  53  is present on the LAN, the master computer  53  responds back to the sender of the UDP packet with its LAN Internet Protocol (IP) address and the Internet port on which the rebroadcast UPD stream  57  may be found.  
         [0265]    3. The LAN connected computer receives the IP and port address and becomes a LAN connected slave computer  54  listening to the rebroadcast message on the indicated IP and port address.  
         [0266]    4. If a LAN connected computer receives no response to its multicast UDP packet requesting a LAN connected master computer  53 , the computer contacts the logical middle of the collection of computers  10  and positions itself in the collection of computers using the state diagrams described in FIGS.  9 A- 9 P. The LAN connected computer now becomes a LAN connected master computer  53  and will begin receiving the broadcast stream as the inbound TCP/IP stream  56 .  
         [0267]    5. Should the LAN connected master computer  53  subsequently receive a broadcast UDP packet requesting a master computer  53 , it will assign an available port for the rebroadcast UDP stream  57  and respond back to the requesting LAN computer with the IP address and port to receive the stream. The LAN connected master computer  53  will then begin rebroadcasting the stream received on the inbound TCP/IP stream  56  on the rebroadcast UDP stream  57  for all LAN connected slave computers  54  to receive.  
         [0268]    Since a new LAN connected master computer  53  assigns an available port for the rebroadcast of the UDP stream, a multiplicity of different broadcast streams using a multiplicity of different ports may exist at the same time on the LAN.  
         [0269]    Moreover, because the LAN connected master computer  53  positions itself in the collection of computers as discussed in connection with FIGS.  9 A- 9 P, the LAN connected master computer  53  will typically need to pass the received broadcast to a neighbor 2   42  and possibly a neighbor 1   41  of the collection of computers. These neighbor 1   41  and neighbor 2  computers  41  and  42 , in accordance with this embodiment, will generally be connected to the LAN connected master computer  53  via the Internet cloud  51 . Accordingly, the LAN connected master computer  53  will pass the received broadcast to its neighbor 1  and neighbor 2  computers  41  and  42  across the LAN  55 , through the gateway router  52 , and via the Internet cloud  51 .  
         [0270]    A Visual Real Time Monitor for Rendering an Array of Interconnected Computers  
         [0271]    In accordance with another embodiment of the invention, visual means for displaying the behavior of the array of interconnected computers makes management of the array easier. A preferred embodiment of display depicting high bandwidth computers  47  is shown in FIG. 19. A monitor  59  will display relevant broadcast parameters in a broadcast parameter window  60 . Shaded squares  62  within a display window  64  indicate connected computers. Each shaded square  62  may be right clicked on by a mouse revealing information specific to that computer including its neighbors in a properties window  66 .  
         [0272]    The display  59  may also include a pop-up window  68  for revealing low bandwidth computers  46  connected to a particular high bandwidth computer  47  represented by a selected shaded square  62  as shown in FIG. 20.  
         [0273]    The display  59  may also include a pop-up window  70  for revealing computers connected to a master computer  53  on a LAN  55 , which is represented by a selected shaded square  62  as shown in FIG. 52.  
         [0274]    Establishing Logical Center Startup Parameters  
         [0275]    In some embodiments of a streaming media system built from the array of connected computers, a means of limiting performance may be desired in order to differentiate products. To accomplish such a performance limitation, the following parameters may be associated with each logical center computer:  
         [0276]    1. Maximum streaming bandwidth.  
         [0277]    2. Maximum number of connected computers.  
         [0278]    3. Expiration date.  
         [0279]    These parameters may be established at installation. In a preferred embodiment, the parameters will be encrypted so as to limit hacking. A mathematical checksum may be generated over the parameters and compared with the known value held in a controlling computer. In this manner, the controlling computer may from time to time confirm the parameters have not been altered.  
         [0280]    A means of remotely updating the parameters will allow easy field upgrading of the logical center&#39;s capabilities.  
         [0281]    Advantages of the Invention  
         [0282]    The invention possesses the following advantages over the previous art include:  
         [0283]    (a) The ability to broadcast a message from any computer in a collection of computers to broadcast to the balance of the collection by distributing the computing power and communications bandwidth required by the broadcast to the collection of computers.  
         [0284]    (b) The ability of any computer in a collection of computers to search for content in a collection of computer by distributing the computing power and communication bandwidth required by the search to the collection of computers.  
         [0285]    (c) The ability of any computer in a collection of computers to search for another computer in the collection of computers by a name or other identifying characteristic by distributing the computing power and communication bandwidth required by the search to the collection of computers.  
         [0286]    (d) The ability to self organize computers into a collection of computers such that the computing power and communication bandwidth of the collection may be used to broadcast from one computer to the balance of computers in the collection; such that the computing power and communication bandwidth of the collection may be used to search for content existing on the collection of computers; and such that the computing power and communication bandwidth of the collection may be used to locate a computer in the collection by name or other identifying characteristic.  
         [0287]    (e) The ability to self organize computers which possess transient network addresses into a collection of computers such that the computing power and communication bandwidth of the collection may be used to broadcast from one computer to the balance of computers in the collection; such that the computing power and communication bandwidth of the collection may be used to search for content existing on the collection of computers; and such that the computing power and communication bandwidth of the collection may be used to locate a computer in the collection by name or other identifying characteristic.  
         [0288]    (f) The ability of an organized collection of computers to self repair itself after some computers become inoperative to an attack or technical malfunction.  
         [0289]    (g) The ability to efficiently distribute or search for information across an entire universe of computers, processors, or communication nodes while maintaining security and robustness. The invention can be used, for example, to support streaming video or other streaming data, to provide a global search ability in which each individual computer can initiate a search of the entire universe of computers, or to support battle management communications (e.g., to distribute or collect information among satellites in a satellite defensive system or to coordinate large numbers of individual units, such as robots or unmanned aircraft, in connection with swarm technologies).  
         [0290]    Although a preferred embodiment of the method and apparatus of the present invention has been illustrated in the accompanying Drawings and described in the foregoing Detailed Description, it is understood that the invention is not limited to the embodiment disclosed, but is capable of numerous rearrangements, modifications, and substitutions without departing from the spirit of the invention as set forth and defined by the following claims.