Ditrigonary tetrishecatonicosachoron
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| Ditrigonary tetrishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Dutithi |
| Elements | |
| Cells | 120 gid, 120 id, 120 giid, 120 siid |
| Faces | 4800 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons |
| Edges | 7200 |
| Vertices | 1200 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Rahi |
| Regiment | Rissidtixhi |
| Conjugate | Ditrigonary tetrishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 3600 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The ditrigonary tetrishecatonicosachoron, or dutithi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 icosidodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. Three great icosidodecahedra, three icosidodecahedra, six great icosicosidodecahedra, and six small icosicosidodecahedra 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" (#1167).
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