Toroidal ditrigonary hexacosidishecatonicosachoron
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| Toroidal ditrigonary hexacosidishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Todtixady |
| Elements | |
| Cells | 600 oct, 120 id, 120 gidditdid |
| Faces | 4800 triangles, 1440 pentagons, 720 decagrams |
| Edges | 7200 |
| Vertices | 1200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Rahi |
| Regiment | Rissidtixhi |
| Conjugate | Dittixady |
| Abstract & topological properties | |
| Euler characteristic | 120 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The toroidal ditrigonary hexacosidishecatonicosachoron, or todtixady, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 icosidodecahedra, and 120 great ditrigonal dodecicosidodecahedra. Three octahedra, three icosidodecahedra, and six great ditrigonal dodecicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1155).
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