Prismatorhombated hexadecachoric tetracomb

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Prismatorhombated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymPraht
Coxeter diagramo3x4x3o3x ()
Elements
Tera32N triangular duoprisms, 12N truncated cubic prisms, 3N prismatorhombated hexadecachora, N tetracontoctachora
Cells96N+96N triangular prisms, 72N octagonal prisms, 24N cuboctahedra, 24N+24N truncated cubes
Faces96N+96N+96N triangles, 144N+288N squares, 144N octagons
Edges288N+288N+288N
Vertices288N
Vertex figureSkewed rectangular scalene, base edge lengths 1 and 2, opposite edge length 1, lacing lengths 2 and 2+2
Related polytopes
ArmyPraht
RegimentPraht
ConjugateQuasiprismatorhombated hexadecachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The prismatorhombated hexadecachoric tetracomb or praht, also called the runcicantellated hexadecachoric tetracomb is a convex uniform tetracomb. 1 tetracontoctachora, 2 prismatorhombated hexadecachora, 2 truncated cubic prisms, and 1 triangular duoprism join at each vertex of this tessellation. As the name suggests, it is the runcicantellation of the hexadecachoric tetracomb.

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