Small retrotetracontoctachoron
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| Small retrotetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sirc |
| Elements | |
| Cells | 48 sroh |
| Faces | 288 squares, 144 octagons |
| Edges | 576 |
| Vertices | 144 |
| Vertex figure | Square stephanoid, edge lengths √2 and √2+√2 |
| Edge figure | sroh 4 sroh 8 sroh 4 sroh 8 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 2736 |
| Level of complexity | 40 |
| Related polytopes | |
| Army | Spic |
| Regiment | Spic |
| Conjugate | Girc |
| Abstract & topological properties | |
| Euler characteristic | –48 |
| Orientable | No |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Tame |
The small retrotetracontoctachoron, or sirc, is a nonconvex noble uniform polychoron that consists of 48 small rhombihexahedra. Eight small rhombihexahedra join at each vertex.
It can be constructed as a blend of a compound of either 9 octagonal duoprisms or 3 grand rhombic prismatotesseracts.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#519).
- Klitzing, Richard. "sirc".
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