Celliprismated icositetrachoric tetracomb

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Celliprismated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymCapicot
Coxeter diagramx3o4o3x3x ()
Elements
Tera12N octahedral prisms, 32N triangular-hexagonal duoprisms, 24N truncated tetrahedral prisms, 3N truncated hexadecachora, N small prismatotetracontoctachora
Cells96N+96N+96N triangular prisms, 24N+24N octahedra, 96N hexagonal prisms, 48N truncated tetrahedra
Faces192N+192N triangles, 144N+288N squares, 96N hexagons
Edges72N+288N+288N
Vertices144N
Vertex figureSkew square antiprismatic pyramid, edge lengths 1 (base squares), 2 (sides of antiprism and lacings to one base), and 3 (lacings to other base)
Related polytopes
ArmyCapicot
RegimentCapicot
ConjugateCelliquasiprismated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

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

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