Small retroinverted dodecahedronary prismatohecatonicosachoron
(Redirected from Sridaphi)
| Small retroinverted dodecahedronary prismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sridaphi |
| Elements | |
| Cells | 120 gike, 1200 trip |
| Faces | 2400 triangles, 1800 squares |
| Edges | 1200 |
| Vertices | 120 |
| Edge figure | (gike 3 trip 4 trip 4 trip 3)×3 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of external pieces | 156240 |
| Level of complexity | 305 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Gridaphi |
| Abstract & topological properties | |
| Euler characteristic | 1800 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The small retroinverted dodecahedronary prismatohecatonicosachoron, or sridaphi, is a nonconvex uniform polychoron that consists of 120 great icosahedra and 1200 triangular prisms. Twelve great icosahedra and sixty triangular prisms join at each vertex.
It also has icosahedra and 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" (#774).
- Klitzing, Richard. "sridaphi".
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