Small ditetrahedronary distrishecatonicosihexacosichoron
Jump to navigation
Jump to search
| Small ditetrahedronary distrishecatonicosihexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Siddatdahix |
| Elements | |
| Cells | 120 ditdid, 600 tet, 120 id |
| Faces | 2400 triangles, 1440 pentagons, 720 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Edge figure | (tet 3 id 5 ditdid 5/2 ditdid 5 id 3) |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 68760 |
| Level of complexity | 171 |
| Related polytopes | |
| Army | Hi |
| Regiment | Sidtaxhi |
| Conjugate | Gaid tadhix |
| Abstract & topological properties | |
| Flag count | 72000 |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The small ditetrahedronary distrishecatonicosihexacosichoron, or siddatdahix, is a nonconvex uniform polychoron that consists of 120 ditrigonary dodecadodecahedra, 600 tetrahedra, and 120 icosidodecahedra. Four ditrigonary dodecadodecahedra, four tetrahedra, and six icosidodecahedra 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" (#783).
 | This article is a stub. You can help Polytope Wiki by expanding it. |