Small retrospinosnub prismatosnub dishexacositetrishexacosichoron
Small retrospinosnub prismatosnub dishexacositetrishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sarnsips dextux |
Elements | |
Cells | 600 small stellated dodecahedra, 600 compound of icosahedron and great dodecahedron, 2400 compound of octahemioctahedron and cubohemioctahedron, 120 antirhombicosicosahedra, 600 compound of two truncated icosahedra, 600 small dodecicosidodecahedra, 3600 pentagrammic prisms |
Faces | 21600 triangles, 18000 squares, 14400 pentagons, 7200 pentagrams, 14400 hexagons, 1200 golden hexagrams, 3600 decagons, 3600 compound of two hexagons |
Edges | 14400+2×21600 |
Vertices | 7200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Prahi |
Regiment | Sadros daskydox |
Conjugate | Garnsips dextux |
Abstract & topological properties | |
Euler characteristic | 25800 |
Orientable | No |
Properties | |
Symmetry | H4+, order 7200 |
Convex | No |
Nature | Wild |
The small retrospinosnub prismatosnub dishexacositetrishexacosichoron, or sarnsips dextux, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 600 icosahedra and 600 great dodecahedra (some of which lie in the same hyperplanes, forming 600 compounds of one of each), 2400 octahemioctahedra and 2400 cubohemioctahedra (forming 2400 compounds of one of each), 600 cuboctahedra (forming 120 antirhombicosicosahedra), 1200 truncated icosahedra (forming 600 compounds of two), 600 small dodecicosidodecahedra, and 3600 pentagrammic prisms.
One small stellated dodecahedron, one icosahedron and one great dodecahedron (two compounds), four octahemioctahedra and four cubohemioctahedra (eight compounds), one cuboctahedron (one compound), ten truncated icosahedra (ten compounds), five small dodecicosidodecahedra, and five pentagrammic prisms join at each vertex.
It can be obtained as the blend of 5 small invertidipentary hecatonicosihexacosidishecatonicosachora and 5 small capped dipentary prismatohexacositrishecatonicosachora. In the process, some of the octahemioctahedron and 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]
- Bowers, Jonathan. "Category 28: Idcossids" (#1646).
This article is a stub. You can help Polytope Wiki by expanding it. |