Small prismatoditetrahedronary prismatohecatonicosachoron
Jump to navigation
Jump to search
| Small prismatoditetrahedronary prismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sapditphi |
| Elements | |
| Cells | 720 pip, 1200 trip, 120 saddid |
| Faces | 2400 triangles, 3600 squares, 1440 pentagons, 720 decagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1446480 |
| Level of complexity | 3260 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gapdatphi |
| Abstract & topological properties | |
| Flag count | 144000 |
| Euler characteristic | 3120 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small prismatoditetrahedronary prismatohecatonicosachoron, or sapditphi, is a nonconvex uniform polychoron that consists of 720 pentagonal prisms, 1200 triangular prisms, and 120 small dodecicosidodecahedra. Twelve pentagonal prisms, twelve triangular prisms, and twelve small dodecicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#801).
 | This article is a stub. You can help Polytope Wiki by expanding it. |