Great retroinverted dodecahedronary prismatohecatonicosachoron
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.
| 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 |
It also has great icosahedra and tetrahedra as pseudofacets.
Vertex coordinates edit
Its vertices are the same as those of its regiment colonel, the small ditrigonary hexacosihecatonicosachoron.
External links edit
- Bowers, Jonathan. "Category 17: Sishi Regiment" (#775).
- Klitzing, Richard. "gridaphi".
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