## 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.

{3,8},

{3,12},

another {3,12}

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

© Copyright 1997 V.Bulatov.
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