Ditetrahedronary cubiprismatohecatonicosachoron
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| Ditetrahedronary cubiprismatohecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Datcaphi |
| Elements | |
| Cells | 600 cube, 120 gissid, 720 stip |
| Faces | 3600 squares, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of pieces | 42120 |
| Level of complexity | 108 |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Gidtacphi |
| Abstract properties | |
| Euler characteristic | 600 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
| Discovered by | {{{discoverer}}} |
The ditetrahedronary cubiprismatohecatonicosachoron, or datcaphi, is a nonconvex uniform polychoron that consists of 600 cubes, 120 great stellated dodecahedra, and 720 pentagrammic prisms. Eight cubes, four great stellated dodecahedra, and twelve pentagrammic prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#824).
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