Tetracontoctaquasirhombated tetracontoctachoron

From Polytope Wiki
Jump to navigation Jump to search
Tetracontoctaquasirhombated tetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymCoqroc
Coxeter diagramx3x4/3x3x4/3*a4*c ()
Elements
Cells48 quasitruncated cuboctahedra, 48 cuboctatruncated cuboctahedra
Faces288 squares, 384 hexagons, 144 octagons, 288 octagrams
Edges1152+1152
Vertices1152
Vertex figurePhyllic disphenoid, edge lengths 2 (1), 3 (2), 2+2 (1), and 2–2 (2)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQuitco–6–cotco: 120°
 Quitco–4–quitco: 90°
 Cotco–8–cotco: 45°
 Quitco–8/3–cotco: 45°
Number of external pieces9216
Level of complexity241
Related polytopes
ArmySemi-uniform Gippic, edge lengths (octagons), (remaining edges)
RegimentCoqroc
ConjugateTetracontoctarhombated tetracontoctachoron
Convex coreTetracontoctachoron
Abstract & topological properties
Flag count27648
Euler characteristic–144
OrientableYes
Properties
SymmetryF4×2, order 2304
ConvexNo
NatureTame

The tetracontoctaquasirhombated tetracontoctachoron, or coqroc, is a nonconvex uniform polychoron that consists of 48 quasitruncated cuboctahedra and 48 cuboctatruncated cuboctahedra. 2 of each join at each vertex.

Gallery[edit | edit source]

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]