Retrododecahedronary prismatohecatonicosachoron
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| Retrododecahedronary prismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Radophi |
| Elements | |
| Cells | 120 sidtid, 1200 trip |
| Faces | 2400 triangles, 1800 squares, 720 pentagons |
| Edges | 1200 |
| Vertices | 120 |
| Edge figure | (sidtid 5/2 sidtid 3 trip 4 trip 4 trip 3)×3 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of external pieces | 66240 |
| Level of complexity | 112 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Dophi |
| Abstract & topological properties | |
| Euler characteristic | 2520 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The retrododecahedronary prismatohecatonicosachoron, or radophi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra and 1200 triangular prisms. Twenty small ditrigonary icosidodecahedra and sixty triangular prisms join at each vertex.
It also has tetrahedra as pseudofacets and great complex icosidodecahedra as exotic 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" (#777).
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