The invention is a system and set of intercleaving (interfitting and adhering/clinging)
toy or real polyhedral construction elements which may be implemented either directly
in physical form or indirectly in a virtual reality via the hardware of a computer
system. These construction elements may be used as structural elements, building
blocks, modeling elements, or the like. Each element of the invention has the ability
to be interfitted with other complimentary elements in a mutually intercleaving
manner along the coincident edges (edgesets) of sets of edge-aligned diagonally
adjacent pyramidal/polyhedral members which, while connected along an innermost
portion of those edgesets for structural stability, have been separated/difurcated
along an outermost portion of those same edgesets in order to facilitate, along
with resulting pyramidal/polyhedral recesses, their interfitting. These generally
polyhedral construction elements may also be projected into spherical/ellipsoidal
forms while retaining the basic characteristics of their underlying polyhedron-based definitions.
