Abstract: An educational game which has predetermined polyhedral bodies. The dimensions of the edges of the polyhedral bodies are ratios substantially equal to 1 and to a whole power of .tau., with ##EQU1## This game also includes (a) at least one polyhedral body for defining a tetrahedral volume;(b) at least one polyhedral body for defining a pyramidal hexahedral volume;(c) at least one polyhedral body for defining a bipyramidal heptahedral volume; and(d) at least one polyhedral body for defining an octahedral volume.The polyhedral bodies of the game allow a non-periodical filling of the space, the formation of homothetic volumes of the volumes and of regular dodecahedral volumes.