Celligreatorhombated hexadecachoric tetracomb

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Celligreatorhombated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCagoraht
Coxeter diagramx3o4x3x3x ()
Elements
Tera32N triangular-hexagonal duoprisms, 24N truncated octahedral prisms, 12N small rhombicuboctahedral prisms, 3N truncated icositetrachora, N prismatorhombated icositetrachora
Cells96N+96N triangular prisms, 72N+144N cubes, 96N+96N hexagonal prisms, 24N+48N truncated octahedra, 24N small rhombicuboctahedra
Faces192N triangles, 144N+288N+288N+288N+288N squares, 96N+192N hexagons
Edges288N+288N+576N+576N
Vertices576N
Vertex figureIsosceles trapezoidal pyramidal pyramid, base edge lengths 1, 2, 2, 2, remaining edge lengths 2 (6) and 3 (3)
Related polytopes
ArmyCagoraht
RegimentCagoraht
ConjugateQuasicelligreatorhombated hexadecachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The celligreatorhombated hexadecachoric tetracomb or cagoraht, also called the stericantitruncated hexadecachoric tetracomb is a convex uniform tetracomb. 1 prismatorhombated icositetrachoron, 1 truncated icositetrachoron, 1 small rhombicuboctahedral prism, 2 truncated octahedral prisms, and 1 triangular-hexagonal duoprism join at each vertex of this tessellation. As the name suggests, it is the stericantitruncation of the hexadecachoric tetracomb.

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