Retroditetrahedronary prismatotrishecatonicosachoron
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| Retroditetrahedronary prismatotrishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Redtapthi |
| Elements | |
| Cells | 120 gissid, 120 did, 720 pip, 120 ri |
| Faces | 3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Great retroditetrahedronary prismatotrishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 144000 |
| Euler characteristic | 3600 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The retroditetrahedronary prismatotrishecatonicosachoron, or redtapthi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 dodecadodecahedra, 720 pentagonal prisms, and 120 rhombicosahedra. Four great stellated dodecahedra, six dodecadodecahedra, twelve pentagonal 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" (#850).
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