Retroinverted ditetrahedronary hecatonicosiprismatohecatonicosachoron
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| Retroinverted ditetrahedronary hecatonicosiprismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Ridathiphi |
| Elements | |
| Cells | 120 gissid, 720 stip, 120 ri |
| Faces | 3600 squares, 1440 pentagrams, 1200 hexagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Great retroinverted ditetrahedronary hecatonicosiprismatohecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 2280 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The retroinverted ditetrahedronary hecatonicosiprismatohecatonicosachoron, or ridathiphi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 720 pentagrammic prisms, and 120 rhombicosahedra. Four great stellated dodecahedra, twelve pentagrammic prisms, and twelve rhombicosahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#842).
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