Small ditetrahedronary hecatonicosihexacosihecatonicosachoron
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| Small ditetrahedronary hecatonicosihexacosihecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sadthixhi |
| Elements | |
| Cells | 600 tet, 120 doe, 120 saddid |
| Faces | 2400 triangles, 1440 pentagons, 720 decagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 197400 |
| Level of complexity | 403 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gadathixhi |
| Abstract & topological properties | |
| Flag count | 86400 |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The small ditetrahedronary hecatonicosihexacosihecatonicosachoron, or sadthixhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 dodecahedra, and 120 small dodecicosidodecahedra. Four tetrahedra, four dodecahedra, and twelve small dodecicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#800).
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