Ditrigonary dishecatonicosachoron
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| Ditrigonary dishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Dittady |
| Coxeter diagram | x3o5o3o5/3*b (     ) |
| Elements | |
| Cells | 120 icosahedra, 120 great icosahedra |
| Faces | 2400 triangles |
| Edges | 1200 |
| Vertices | 120 |
| Vertex figure | Ditrigonary dodecadodecahedron, edge length 1 |
| Edge figure | (ike 3 gike 3)×3 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Hypervolume | |
| Dichoral angle | 60° |
| Central density | 30 |
| Number of external pieces | 66240 |
| Level of complexity | 153 |
| Related polytopes | |
| Army | Ex, edge length |
| Regiment | Sishi |
| Company | Sidtixhi |
| Dual | Medial triambic icosahedral hecatonicosachoron |
| Conjugate | Ditrigonary dishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 28800 |
| Euler characteristic | 1080 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Flag orbits | 2 |
| Convex | No |
| Nature | Tame |
The ditrigonary dishecatonicosachoron, or dittady, is a nonconvex uniform polychoron that consists of 120 regular icosahedra and 120 regular great icosahedra. 12 great icosahedra and 12 icosahedra join at each vertex, with a ditrigonary dodecadodecahedron as the vertex figure.
It has the same set of triangular faces as the small ditrigonary hexacosihecatonicosachoron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 17: Sishi Regiment" (#765).
- Klitzing, Richard. "dittady".