Swirlprismatic hexacosihecatonicosachoron
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| Swirlprismatic hexacosihecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Spaxhi |
| Elements | |
| Cells | 120 pentagrammic prisms, 600 pentagonal prisms |
| Faces | 1800 squares, 120 pentagrams, 600 pentagons |
| Edges | 1200 |
| Vertices | 120 |
| Vertex figure | Faceted dodecahedron |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of external pieces | 353640 |
| Level of complexity | 14304 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Swirlprismatic hecatonicosihexacosichoron |
| Convex core | Swirlprismatostellated joined hexacosichoron |
| Abstract & topological properties | |
| Flag count | 43200 |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(10), order 1200 |
| Convex | No |
| Nature | Feral |
The swirlprismatic hexacosihecatonicosichoron, or spaxhi, is a uniform polychoron in the small stellated hecatonicosachoron's regiment. Its cells are 120 pentagrammic prisms and 600 pentagonal prisms, with 10 and 50 of each, respectively, meeting each of the polychoron's 120 vertices.
Cross-sections[edit | edit source]
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" (#982).
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