Prismatotruncated hexadecachoric tetracomb

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Prismatotruncated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymPataht
Coxeter diagramo3x4o3x3x ()
Elements
Tera32N triangular-hexagonal duoprisms, 12N cuboctahedral prisms, 3N prismatorhombated tesseracts, N small rhombated icositetrachora
Cells96N+96N triangular prisms, 72N cubes, 96N hexagonal prisms, 24N truncated tetrahedra, 24N cuboctahedra, 24N small rhombicuboctahedra
Faces96N+192N triangles, 144N+288N+288N squares, 96N hexagons
Edges144N+288N+576N
Vertices288N
Vertex figureWedge pyramid, edge lengths 1 (two base edges and top edge of wedge), 2 (sides and remaining base edges of wedge and lacings to base rectangle), and 3 (lacings to top edge)
Related polytopes
ArmyPataht
RegimentPataht
ConjugateQuasiprismatotruncated hexadecachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The prismatotruncated hexadecachoric tetracomb or pataht, also called the runcitruncated hexadecachoric tetracomb is a convex uniform tetracomb. 1 small rhombated icositetrachoron, 2 prismatorhombated tesseracts, 1 cuboctahedral prism, and 2 triangular-hexagonal duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcitruncation of the hexadecachoric tetracomb.

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