Square tiling antiprism

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Square tiling antiprism
Rank4
TypeScaliform
SpaceEuclidean
Notation
Coxeter diagram
Elements
Cells2 square tilings
square pyramids
tetrahedra
Facessquares
triangles
Vertex figureSquare antipodium
Related polytopes
Army*
Regiment*
Abstract & topological properties
OrientableYes
Properties
ConvexYes
NatureTame

The square tiling antiprism is a scaliform slab honeycomb of the Euclidean plane. It consists of 2 square tilings, ∞ square pyramids, and ∞ tetrahedra. Each vertex joins 1 square tiling, 5 square pyramids, and 4 tetrahedra. It is an antiprism based on the square tiling. It can also be formed by alternation of the square tiling prism.

It appears as a segment of the tetrahedral-octahedral honeycomb.

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