Small diretrosnub dishexacositetrishexacosichoron
| Small diretrosnub dishexacositetrishexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sadrosid xutix |
| Elements | |
| Cells | 600 great icosahedra, 600 snub disoctahedra, 2400 compound of two octahemioctahedra, 600 small dodecicosahedra, 600 small dodecicosidodecahedra, 600 truncated icosahedra |
| Faces | 33600 triangles, 7200 pentagons, 19200 hexagons, 4800 golden hexagrams, 7200 decagons, 1200 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 | Gadrosid xutix |
| Abstract & topological properties | |
| Euler characteristic | 20400 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small diretrosnub dishexacositetrishexacosichoron, or sadrosid xutix, is a nonconvex uniform polychoron that consists of 600 great icosahedra, 1200 icosahedra (some of which lie in the same hyperplanes, forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra, 600 small dodecicosidodecahedra, and 600 truncated icosahedra.
One great icosahedron, two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five small dodecicosahedra, five small dodecicosidodecahedra, and five truncated icosahedra join at each vertex.
It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosihecatonicosachora and 5 small invertidipentary hecatonicosihexacosidishecatonicosachora.
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" (#1533).
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