Apeirogonal antiprism pseudoprismatic honeycomb

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Apeirogonal antiprism pseudoprismatic honeycomb
Rank4
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSquathap
Coxeter diagramxØo2s2s∞o ()
Elements
CellsN triangular prisms, 2 square tilings
Facestriangles, squares of two orbits
Vertex figureHexagonal bipyramid cut in half perpendicularly to equator
Related polytopes
Army*
Regiment*
Abstract & topological properties
OrientableYes
Properties
ConvexYes
NatureTame

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.

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