Apeirogonal antiprism pseudoprismatic honeycomb

Apeirogonal antiprism pseudoprismatic honeycomb
Rank	4
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Squathap
Elements
Cells	N triangular prisms, 2 square tilings
Faces	triangles, squares of two orbits
Vertex figure	Hexagonal bipyramid cut in half perpendicularly to equator
Army	*
Regiment	*
Abstract & topological properties
Orientable	Yes
Properties
Convex	Yes

The apeirogonal antiprism pseudoprismatic honeycomb is a uniform Euclidean honeycomb. It consists of 2 square tilings and ∞ triangular prisms. Each vertex joins 1 square tiling and 6 triangular prisms.

This honeycomb was formerly known as square tiling hemiantiprism, from which the acronym "squathap" was derived.

It can be constructed from the comb product of the apeirogon and the apeirogonal antiprism by blending adjacent apeirogonal prisms into square tilings.

It can also be constructed as comb(x∞o, x∞o) || comb(x∞o, o∞x), using Klitzing's atop notation.

External links

• Wikipedia Contributors. "Convex uniform honeycomb#Frieze forms".