Small diretrosnub tetrishexacositrihexacosichoron
| Small diretrosnub tetrishexacositrihexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Saderstuxtix |
| Elements | |
| Cells | 600 small retrosnub disoctahedra, 600 snub disoctahedra, 2400 compound of two octahemioctahedra, 600 small dodecicosahedra, 600 rhombicosahedra, 600 small rhombidodecahedra |
| Faces | 28800 triangles, 18000 squares, 19200 hexagons, 7200 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 | Gaderstuxtix |
| Abstract & topological properties | |
| Euler characteristic | 30600 |
| Orientable | No |
| Properties | |
| Symmetry | H4+, order 7200 |
| Convex | No |
| Nature | Wild |
The small diretrosnub tetrishexacositrihexacosichoron, or saderstuxtix, is a nonconvex uniform polychoron that consists of 1200 great icosahedra (some of which lie in the same hyperplanes, forming 600 small retrosnub disoctahedra), 1200 icosahedra (forming 600 snub disoctahedra), 4800 octahemioctahedra (forming 2400 compounds of two), 600 small dodecicosahedra, 600 rhombicosahedra, and 600 small rhombidodecahedra.
Two great icosahedra (two compounds), two icosahedra (two compounds), eight octahemioctahedra (eight compounds), five small dodecicosahedra, five rhombicosahedra, and five small rhombidodecahedra join at each vertex.
It can be obtained as the blend of 5 small dipentary dishecatonicosihexacosihecatonicosachora and 5 small based dipentary hexacositetrishecatonicosachora.
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" (#1545).
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