Small swirlprismatic triacosihexecontitriacosihexecontachoron
The small swirlprismatic triacosihexecontitriacosihexecontachoron, or sispatit, is a nonconvex uniform polychoron that consists of 360 pentagonal prisms and 360 pentagrammic prisms. Thirty pentagonal prisms and thirty pentagrammic prisms join at each vertex.
| Small swirlprismatic triacosihexecontitriacosihexecontachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sispatit |
| Elements | |
| Cells | 360 pentagonal prisms, 360 pentagrammic prisms |
| Faces | 1800 squares, 360 pentagons, 360 pentagrams |
| Edges | 1200 |
| Vertices | 120 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Number of external pieces | 18000 |
| Level of complexity | 1120 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | Sispatit |
| Abstract & topological properties | |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●G2, order 720 |
| Convex | No |
| Nature | Feral |
It has the same cell counts as the great swirlprismatic triacosihexecontitriacosihexecontachoron, although the two are not conjugate.
Vertex coordinates edit
Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.
External links edit
- Bowers, Jonathan. "Category 20: Miscellaneous" (#979).
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