Prismatorhombated icositetrachoric tetracomb

Prismatorhombated icositetrachoric tetracomb
Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Pricot
Coxeter diagram	x3o4x3x3o ()
Elements
Tera	24N truncated tetrahedral prisms, 32N triangular duoprisms, 3N tesseractihexadecachora, N prismatorhombated icositetrachora
Cells	96N+96N triangular prisms, 96N hexagonal prisms, 48N truncated tetrahedra, 24N truncated octahedra, 12N small rhombicuboctahedra
Faces	96N+96N triangles, 72N+144N+288N squares, 192N hexagons
Edges	288N+288N+288N
Vertices	288N
Vertex figure	Isosceles trapezoidal scalene, base edge lengths 1, √2, √2, √2, opposite edge length 1, lacing lengths √2 and √3
Related polytopes
Army	Pricot
Regiment	Pricot
Conjugate	Quasiprismatorhombated icositetrachoric tetracomb
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U5
Convex	Yes

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.

External links

• Klitzing, Richard. "pricot".

• Wikipedia Contributors. "Runcicantellated 24-cell honeycomb".