Tetracontoctarhombated tetracontoctachoron

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Tetracontoctarhombated tetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymCroc
Coxeter diagramx3x4x3x4*a4/3*c ()
Elements
Cells48 great rhombicuboctahedra, 48 cuboctatruncated cuboctahedra
Faces288 squares, 384 hexagons, 288 octagons, 144 octagrams
Edges1152+1152
Vertices1152
Vertex figurePhyllic disphenoid, edge lengths 2 (1), 3 (2), 2+2 (2), and 2–2 (1)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesCotco–8/3–cotco: 135°
 Girco–8–cotco: 135°
 Girco–6–cotco: 120°
 Girco–4–girco: 90°
Number of external pieces1008
Level of complexity40
Related polytopes
ArmySemi-uniform Gippic, edge lengths (octagons), 1 (remaining edges)
RegimentCroc
ConjugateTetracontoctaquasirhombated tetracontoctachoron
Convex coreTetracontoctachoron
Abstract & topological properties
Flag count27648
Euler characteristic–144
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The tetracontoctarhombated tetracontoctachoron, or croc, is a nonconvex uniform polychoron that consists of 48 great rhombicuboctahedra and 48 cuboctatruncated cuboctahedra. 2 of each join at each vertex.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

The vertices of a tetracontoctarhombated tetracontoctachoron of edge length 1 are given by all permutations of:

External links[edit | edit source]