Great dispinosnub prismatosnub trishexacositrishexacosichoron

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Great dispinosnub prismatosnub trishexacositrishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGidan spistaxtix
Elements
Cells600 small stellated dodecahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 great dodecicosahedra, 600 icosidodecadodecahedra, 600 great rhombidodecahedra, 3600 pentagonal prisms
Faces32400 squares, 14400 pentagons, 7200 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 7200 decagrams
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall dispinosnub prismatosnub trishexacositrishexacosichoron
Abstract & topological properties
Euler characteristic20400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great dispinosnub prismatosnub trishexacositrishexacosichoron, or gidan spistaxtix, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 1200 great dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 great dodecicosahedra, 600 icosidodecadodecahedra, 600 great rhombidodecahedra, and 3600 pentagonal prisms.

One small stellated dodecahedron, two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five great dodecicosahedra, five icosidodecadodecahedra, five great rhombidodecahedra, and five pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 great dipentary hecatonicosiprismatohecatonicosihexacosichora and 5 great capped dipentary hexacositetrishecatonicosachora. 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 great diretrosnub disnub decahecatonicosadishexacosichoron.

External links[edit | edit source]