Infinite regular polyhedra

Infinite regular "polyhedra" are periodical regular structures, which satisfy all properties of platonic solids except beeing finite: regular and symmetrically equvalent faces and vertexes. Schläfli symbol of polyhedra {p,q} means, that all polyhedron's faces are refular p-gons, with q of them meeting at every vertex.

{6,4} - simple cubic lattice formed by truncated octahedra with holes instead of squre faces. Four hexagons meet at every vertex.

{4,6} - lattice of cubes with some faces removed. Six squares meet at every vertex.

{5,5} - lattice of regular pentagons, 5 at each vertex.
another {3,12}

These polyhedra models are from Melinda Green's geometry page.

© Copyright 1997 V.Bulatov. Commercial use of these materials is prohibited without prior written permission.