Cellirhombated icositetrachoric tetracomb

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Cellirhombated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCaricot
Coxeter diagramx3o4x3o3x ()
Elements
Tera32N triangular duoprisms, 24N cuboctahedral prisms, 12N small rhombicuboctahedral prisms, 3N rectified icositetrachora, N small rhombated icositetrachora
Cells96N+96N+96N triangular prisms, 72N+144N cubes, 24N+48N cuboctahedra, 24N small rhombicuboctahedra
Faces96N+96N+192N triangles, 144N+288N+288N+288N squares
Edges288N+288N+576N
Vertices288N
Vertex figureAntiduowedge, edge lengths 1 (bases of disphenoid cell and two edges of top rectangle) and 2 (remaining edges)
Related polytopes
ArmyCaricot
RegimentCaricot
ConjugateQuasicellirhombated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The cellirhombated icositetrachoric tetracomb or caricot, also called the stericantellated icositetrachoric tetracomb is a convex uniform tetracomb. 1 small rhombated icositetrachoron, 1 rectified icositetrachoron, 1 triangular duoprism, 2 cuboctahedral prisms, and 2 small rhombicuboctahedral prisms join at each vertex of this tessellation. As the name suggests, it is the stericantellation of the icositetrachoric tetracomb.

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