Swirlprismatic hecatonicosihexacosichoron
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| Swirlprismatic hecatonicosihexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sphix |
| Elements | |
| Cells | 600 pentagrammic prisms, 120 pentagonal prisms |
| Faces | 1800 squares, 600 pentagrams, 120 pentagons |
| Edges | 1200 |
| Vertices | 120 |
| Vertex figure | Faceted dodecahedron |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of external pieces | 8400 |
| Level of complexity | 224 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Swirlprismatic hexacosihecatonicosachoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 43200 |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(10), order 1200 |
| Convex | No |
| Nature | Feral |
The swirlprismatic hecatonicosihexacosichoron, or sphix, is a uniform polychoron in the small stellated hecatonicosachoron's regiment. Its cells are 600 pentagrammic prisms and 120 pentagonal prisms, with 50 and 10 of each, respectively, meeting each of the polychoron's 120 vertices.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 20: Miscellaneous" (#977).
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