Small disnub snub prismatosnub pentishexacosipentishecatonicosachoron

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Small disnub snub prismatosnub pentishexacosipentishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymSidsospid sphitux
Elements
Cells600 gike, 600 gad, 4800 co (2400 pairs), 600 raded, 600 sidditdid and 600 siid (600 compounds), 600 tut (120 compounds of 5), 2400 tut, 3600 stip
Faces4800+4800 triangles (2400+2400 pairs), 2400+2400+7200+7200+7200+7200 triangles, 3600+7200+7200+14400 squares, 7200 pentagons, 7200+7200 pentagrams, 2400+2400+7200 hexagons, 3600 decagons
Edges7200+7200+10800+10800+10800+10800
Vertices7200
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Prahi
RegimentSadros daskydox
ConjugateGidsospas pixphi
Abstract & topological properties
OrientableNo
Properties
SymmetryH4+, order 7200
ConvexNo
NatureWild

The small disnub snub prismatosnub pentishexacosipentishecatonicosachoron, or sidsospas pixphi, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 600 great dodecahedra, 4800 cuboctahedra (in pairs in the same hyperplane, forming 2400 compounds of 2), 600 rhombidodecadodecahedra, 600 small ditrigonal dodecicosidodecahedra and 600 small icosicosidodecahedra (one of each in the same hyperplane, forming 600 compounds), 3600 pentagrammic prisms, and 3000 truncated tetrahedra (600 of which form 120 truncated chiricosahedra).

One great icosahedron, one great dodecahedron, eight cuboctahedra, five rhombidodecadodecahedra, five small ditrigonal dodecicosidodecahedra, five small icosicosidodecahedra, five pentagrammic prisms, and five truncated tetrahedra (one compound and four single) join at each vertex.

It can be obtained as the blend of 5 siddip xappady and 5 sidphixdahix.

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]