Small dispinosnub snub trishexacosipentishecatonicosachoron

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Small dispinosnub snub trishexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidansostixphi
Elements
Cells600 great icosahedra, 2400 compound of two cubohemioctahedra, 600 small rhombidodecahedra, 600 rhombicosahedra, 120 truncated chiricosahedra, 2400 truncated tetrahedra
Faces12000 triangles, 32400 squares, 19200 hexagons, 1200 compound of two hexagons, 3600 decagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGidansostixphi
Abstract & topological properties
Euler characteristic9600
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub snub trishexacosipentishecatonicosachoron, or sidansostixphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 4800 cubohemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of two), 600 small rhombidodecahedra, 600 rhombicosahedra, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One great icosahedron, eight cubohemioctahedra (eight compounds), five small rhombidodecahedra, five rhombicosahedra, and five truncated tetrahedra (one compound, four single) join at each vertex.

It can be obtained as the blend of 5 small dipentary hexacosihecatonicosachora and 5 small dipentary dishecatonicosidishexacosichora. In the process, some of the cubohemioctahedron cells blend out.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small diretrosnub disnub decahecatonicosadishexacosichoron.

External links[edit | edit source]