Celliprismatotruncated icositetrachoric tetracomb

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Celliprismatotruncated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCapticot
Coxeter diagramx3x4o3x3x ()
Elements
Tera24N truncated tetrahedral prisms, 32N hexagonal duoprisms, 12N truncated octahedral prisms, 3N prismatorhombated tesseracts, N prismatorhombated icositetrachora
Cells96N triangular prisms, 72N cubes, 96N+96N+96N hexagonal prisms, 48N truncated tetrahedra, 24N truncated octahedra, 24N small rhombicuboctahedra
Faces192N triangles, 144N+144N+288N+288N+288N+288N squares, 192N+192N hexagons
Edges288N+288N+576N+576N
Vertices576N
Vertex figureIsosceles trapezoidal pyramidal pyramid, base edge lengths 1, 2, 2, 2, remaining edge lengths 2 (5) and 3 (4)
Related polytopes
ArmyCapticot
RegimentCapticot
ConjugateQuasicelliprismatotruncated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The celliprismatotruncated icositetrachoric tetracomb or capticot, also called the steriruncitruncated icositetrachoric tetracomb is a convex uniform tetracomb. 1 prismatorhombated icositetrachoron, 1 prismatorhombated tesseract, 1 truncated tetrahedral prism, 1 truncated octahedral prism, and 2 hexagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the steriruncitruncation of the icositetrachoric tetracomb.

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