Small dispinosnub prismatosnub heptishexacosichoron

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Small dispinosnub prismatosnub heptishexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymSednasposhex
Elements
Cells600 pentagrammatic snub pseudodisoctahedra, 600 pentagonal retrosnub pseudodisoctahedra, 2400 compound of two cubohemioctahedra, 600 rhombidodecadodecahedra, 600 small dodecicosahedra, 600 truncated icosahedra, 3600 pentagrammic prisms
Faces32400 squares, 14400 pentagons, 14400 pentagrams, 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
ConjugateGednasposhex
Abstract & topological properties
Euler characteristic23400
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small dispinosnub prismatosnub heptishexacosichoron, or sednasposhex, is a nonconvex uniform polychoron that consists of 1200 small stellated dodecahedra (some of which lie 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 small dodecicosahedra, 600 truncated icosahedra, and 3600 pentagrammic prisms.

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

It can be obtained as the blend of 5 small capped dipentary tetrishecatonicosihexacosichora and 5 small 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 small diretrosnub disnub decahecatonicosadishexacosichoron.

External links[edit | edit source]