Prismatorhombated icositetrachoric tetracomb

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.

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

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