Small prismated hexadecachoric tetracomb

Small prismated hexadecachoric tetracomb
Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Spaht
Coxeter diagram	o3x4o3o3x ()
Elements
Tera	32N triangular duoprisms, 12N cuboctahedral prisms, 3N small disprismatotesseractihexadecachora, N rectified icositetrachora
Cells	24N tetrahedra, 96N+96N triangular prisms, 24N+72N cubes, 24N cuboctahedra
Faces	96N+96N triangles, 144N+288N squares
Edges	144N+288N
Vertices	96N
Vertex figure	Triangular antifastegium, edge lengths 1 (lateral edges of base triangular prism and top triangle) and √2 (remaining edges)
Related polytopes
Army	Spaht
Regiment	Spaht
Conjugate	Quasiprismated hexadecachoric tetracomb
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U5
Convex	Yes

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.

External links

• Klitzing, Richard. "spaht".

• Wikipedia Contributors. "Runcinated 16-cell honeycomb".