Great retroinverted dodecahedronary prismatohecatonicosachoron
| Great retroinverted dodecahedronary prismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gridaphi |
| Elements | |
| Cells | 120 ike, 1200 trip |
| Faces | 2400 triangles, 1800 squares |
| Edges | 1200 |
| Vertices | 120 |
| Edge figure | (ike 3 trip 4 trip 4 trip 3)×3 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of external pieces | 237600 |
| Level of complexity | 524 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Sridaphi |
| Abstract & topological properties | |
| Euler characteristic | 1800 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The great retroinverted dodecahedronary prismatohecatonicosachoron, or gridaphi, is a nonconvex uniform polychoron that consists of 120 icosahedra and 1200 triangular prisms. Twelve icosahedra and sixty triangular prisms join at each vertex.
It also has great 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" (#775).
- Klitzing, Richard. "gridaphi".
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