Dodecahedronary dishecatonicosachoron
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| Dodecahedronary dishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Didhi |
| Elements | |
| Cells | 120 gidtid, 120 gike |
| Faces | 2400 triangles, 720 pentagons |
| Edges | 1200 |
| Vertices | 120 |
| Edge figure | (gike 3 gidtid 5 gidtid 3)×3 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of pieces | 19440 |
| Level of complexity | 61 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Ofiddady |
| Abstract properties | |
| Euler characteristic | 1800 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The dodecahedronary dishecatonicosachoron, or didhi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra and 120 great icosahedra. Twenty great ditrigonary icosidodecahedra and twelve great icosahedra join at each vertex.
It also has tetrahedra as pseudofacets.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 17: Sishi Regiment" (#772).
- Klitzing, Richard. "didhi".
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