Prismatorhombated icositetrachoric tetracomb

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Prismatorhombated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymPricot
Coxeter diagramx3o4x3x3o ()
Elements
Tera24N truncated tetrahedral prisms, 32N triangular duoprisms, 3N tesseractihexadecachora, N prismatorhombated icositetrachora
Cells96N+96N triangular prisms, 96N hexagonal prisms, 48N truncated tetrahedra, 24N truncated octahedra, 12N small rhombicuboctahedra
Faces96N+96N triangles, 72N+144N+288N squares, 192N hexagons
Edges288N+288N+288N
Vertices288N
Vertex figureIsosceles trapezoidal scalene, base edge lengths 1, 2, 2, 2, opposite edge length 1, lacing lengths 2 and 3
Related polytopes
ArmyPricot
RegimentPricot
ConjugateQuasiprismatorhombated icositetrachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The prismatorhombated icositetrachoric tetracomb or pricot, also called the runcicantellated icositetrachoric tetracomb is a convex uniform tetracomb. 2 prismatorhombated icositetrachora, 1 tesseractihexadecachoron, 2 truncated tetrahedral prisms, and 1 triangular duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantellation of the icositetrachoric tetracomb.

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