Triangular tiling antiprism

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Triangular tiling antiprism
Rank4
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymTratap
Coxeter diagramo3o6s2s () or oo3ox3xo3*a &#x
Elements
Cells2N tetrahedra, N octahedra, 2 triangular tilings
Facestriangles
Vertex figureTriangular cupola
Related polytopes
Army*
Regiment*
DualTriangular tiling antitegum
Abstract & topological properties
OrientableYes
Properties
ConvexYes
NatureTame

The triangular tiling antiprism or alternated hexagonal slab honeycomb, also known as tratap, is a uniform Euclidean honeycomb. It consists of 2 triangular tilings, ∞ tetrahedra, and ∞ octahedra. Each vertex joins 1 triangular tiling, 3 octahedra, and 4 tetrahedra. It can be formed by alternating a hexagonal tiling prism.

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