Celliprismated hexadecachoric tetracomb

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Celliprismated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCapoht
Coxeter diagramx3x4o3o3x ()
Elements
Tera24N tetrahedral prisms, 32N triangular-hexagonal duoprisms, 12N truncated octahedral prisms, 3N small disprismatotesseractihexadecachora, N truncated icositetrachora
Cells48N tetrahedra, 96N+96N triangular prisms, 24N+72N cubes, 96N hexagonal prisms, 24N truncated octahedra
Faces192N triangles, 144N+144N+288N squares, 96N hexagons
Edges96N+288N+288N
Vertices192N
Vertex figureTriangular antipodial pyramid, edge lengths 1 (small base of antipodium), 2 (sides and other base of antipodium, and lacings to small base), and 3 (lacings to large base)
Related polytopes
ArmyCapoht
RegimentCapoht
ConjugateCelliquasiprismated hexadecachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The celliprismated hexadecachoric tetracomb or capoht, also called the steritruncated icositetrachoric tetracomb is a convex uniform tetracomb. 1 truncated icositetrachoron, 1 small disprismatotesseractihexadecachoron, 1 tetrahedral prism, 4 truncated octahedral prisms, and 4 triangular-hexagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steritruncation of the icositetrachoric tetracomb.

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