Small ditetrahedronary cubihecatonicosachoron
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| Small ditetrahedronary cubihecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Siddatchi |
| Elements | |
| Cells | 120 compounds of five cubes, 120 small rhombidodecahedra |
| Faces | 3600 squares, 720 decagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gadtachi |
| Abstract & topological properties | |
| Flag count | 86400 |
| Euler characteristic | 600 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The small ditetrahedronary cubihecatonicosachoron, or siddatchi, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes) and 120 small rhombidodecahedra. Eight cubes (or four compounds) and twelve small rhombidodecahedra 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" (#804).
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