User:Tomruen/triaprism

A triaprism is a 6-polytope constructed as the product of 3 orthogonal polygons.

A uniform triaprism is the product of three regular polygons, {p}×{q}×{r}, form an infinite class for all integers p,q,r>2.

The smallest triaprism is a 3-3-3 prism. {4}×{4}×{4} makes a lower symmetry form of the 6-cube.

A p-q-r prism is a real representation of the set of complex polytopes.

p-p-p prisms
A p-p-p prism or p-gonal triple prism or p-gonal triaprism, {p}×{p}×{p} or {p}3, has extended symmetry [3[p,2,p,2,p]], order 48p3. A 4-4-4 prism is also a 6-cube, extends symmetry order from 3072 to 266! or 46080. Therefore [4]3 is an index 15 subgroup of [4,3,3,3,3].

A p-p-p prism is a real representation of the set of complex polytope generalized cubes.