Small diretrosnub snub prismatosnubdisnub trishexacosipentishecatonicosachoron

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Small diretrosnub snub prismatosnubdisnub trishexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSadersosposid stixphi
Elements
Cells600 icosahedra, 2400 compound of two octahemioctahedra, 600 icosidodecadodecahedra, 600 small dodecicosidodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms, 120 truncated chiricosahedra, 2400 truncated tetrahedra
Faces38400 triangles, 18000 squares, 7200 pentagon, 7200 pentagrams, 19200 hexagons, 2400 golden hexagrams, 3600 decagons, 1200 compound of two hexagons
Edges14400+2×21600
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGadersosposid stixphi
Abstract & topological properties
Euler characteristic31200
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small diretrosnub snub prismatosnubdisnub trishexacosipentishecatonicosachoron, or sadersosposid stixphi, is a nonconvex uniform polychoron that consists of 600 icosahedra, 4800 octahemioctahedra (some of which lie in the same hyperplanes, forming 2400 compounds of two), 600 icosidodecadodecahedra, 600 small dodecicosidodecahedra, 3600 pentagrammic prisms, 6000 triangular prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One icosahedron, eight octahemioctahedra (eight compounds), five icosidodecadodecahedra, five small dodecicosidodecahedra, five pentagrammic prisms, five triangular prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.

It can be obtained as the blend of 5 small dipentary hecatonicosidishexacosichora and 5 small dipentary disprismatohecatonicosihexacosihecatonicosachora.

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]