Great dispinosnub prismatosnub heptishexacosichoron

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Great dispinosnub prismatosnub heptishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGednasposhex
Elements
Cells600 pentagrammatic snub pseudodisoctahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 rhombidodecadodecahedra, 600 great dodecicosahedra, 600 truncated great icosahedra, 3600 pentagonal prisms
Faces32400 squares, 14400 pentagons, 14400 pentagrams, 19200 hexagons, 1200 compound of two hexagons, 3600 decagrams
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Grix
RegimentGadros daskydox
ConjugateSmall dispinosnub prismatosnub heptishexacosichoron
Abstract & topological properties
Euler characteristic23400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The great dispinosnub prismatosnub heptishexacosichoron, or gednasposhex, is a nonconvex uniform polychoron that consists of 1200 small stellated dodecahedra (falling into pairs in the same hyperplanes, forming 600 pentagrammatic snub pseudodisoctahedra), 1200 great dodecahedra (forming 600 pentagonal retrosnub pseudodisoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 rhombidodecadodecahedra, 600 great dodecicosahedra, 600 truncated great icosahedra, and 3600 pentagonal prisms.

Two small stellated dodecahedra (two compounds), two great dodecahedra (two compounds), eight cubohemioctahedra (eight compounds), five rhombidodecadodecahedra, five great dodecicosahedra, five truncated great icosahedra, and five pentagonal prisms join at each vertex.

It can be obtained as the blend of 5 great capped dipentary tetrishecatonicosihexacosichora and 5 great capped dipentary prismatohexacositrishecatonicosachora. 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]