Small prismated hexadecachoric tetracomb

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Small prismated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymSpaht
Coxeter diagramo3x4o3o3x ()
Elements
Tera32N triangular duoprisms, 12N cuboctahedral prisms, 3N small disprismatotesseractihexadecachora, N rectified icositetrachora
Cells24N tetrahedra, 96N+96N triangular prisms, 24N+72N cubes, 24N cuboctahedra
Faces96N+96N triangles, 144N+288N squares
Edges144N+288N
Vertices96N
Vertex figureTriangular antifastegium, edge lengths 1 (lateral edges of base triangular prism and top triangle) and 2 (remaining edges)
Related polytopes
ArmySpaht
RegimentSpaht
ConjugateQuasiprismated hexadecachoric tetracomb
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The small prismated hexadecachoric tetracomb or spaht, also called the runcinated hexadecachoric tetracomb is a convex uniform tetracomb. 2 small disprismatotesseractihexadecachora, 1 rectified icositetrachoron, 3 cuboctahedral prisms, and 3 triangular duoprisms join at each vertex of this tessellation. As the name suggests, it is the runcination of the hexadecachoric tetracomb.

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