Small dispinosnub prismatodisnub hexacosipentishexacosichoron
| Small dispinosnub prismatodisnub hexacosipentishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sadinspidos xopex |
| Elements | |
| Cells | 600 small stellated dodecahedra, 600 snub disoctahedra, 2400 compound of two cubohemioctahedra, 600 compound of small dodecicosahedron and small icosicosidodecahedron, 600 small rhombidodecahedra, 6000 triangular prisms |
| Faces | 19200 triangles, 32400 squares, 7200 pentagrams, 14400 hexagons, 2400 golden hexagrams, 7200 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 | Great dispinosnub prismatodisnub hexacosipentishexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 27600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small dispinosnub prismatodisnub hexacosipentishexacosichoron, or sadinspidos xopex, is a nonconvex uniform polychoron that consists of 600 small stellated dodecahedra, 1200 icosahedra (falling into pairs in the same hyperplanes, forming 600 snub disoctahedra), 4800 cubohemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra and 600 small icosicosidodecahedra (forming 600 compounds of one of each), 600 small rhombidodecahedra, and 6000 triangular prisms.
One small stellated dodecahedron, two icosahedra (two compounds), eight cubohemioctahedra (eight compounds), five small dodecicosahedra and five small icosicosidodecahedra (ten compounds), five small rhombidodecahedra, and five triangular prisms join at each vertex.
It can be obtained as the blend of 5 small dipentary hecatonicosiprismatohexacosihecatonicosachora and 5 small dipentary hecatonicosihexacositrishecatonicosachora. 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]
- Bowers, Jonathan. "Category 28: Idcossids" (#1607).