Method of playing board games on two-dimensional manifolds

Abstract

A method of playing board games on modeled compact two-dimensional manifolds. The manifold is designed to be modeled from an imaginary game board by gluing its sides in the special manner so that the result is topologically equivalent to the desired surface as defined in topology.

1 . A method of playing board games on models of arbitrary compact two-dimensional manifolds.  
   
   
       2 . The method according to  claim 1  wherein the manifold is a cylinder.  
   
   
       3 . The method according to  claim 1  wherein the manifold is a Moebius tape.  
   
   
       4 . The method according to  claim 1  wherein the manifold is a torus surface.  
   
   
       5 . The method according to  claim 1  wherein the manifold is a Klein bottle.  
   
   
       6 . The method according to  claim 2 ,  3 ,  4 , or  5  wherein the game is “renju” or “five-in-line”.  
   
   
       7 . The method of rotating the board of methods 1 to 5 that places different board cells in the visible center of the board.  
   
   
       8 . The computer program product implementing methods declared in  claims 1  to  7  wherein the player plays with a computer.  
   
   
       9 . The computer program product implementing methods declared in  claim 6  wherein the game is played on two or more portable computing, gaming or communication devices communicating via a network.  
   
   
       10 . A special device having a display and a processor, implementing the method of 6.