Great ditetrahedronary cubiprismatodishecatonicosachoron
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| Great ditetrahedronary cubiprismatodishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gidtacpady |
| Elements | |
| Cells | 120 compounds of five cubes, 120 dodecahedra, 120 dodecadodecahedra, 720 pentagrammic prisms |
| Faces | 3600 squares, 1440 pentagons, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 80880 |
| Level of complexity | 173 |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Ditetrahedronary cubiprismatodishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 1920 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great ditetrahedronary cubiprismatodishecatonicosachoron, or gidtacpady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecahedra, 120 dodecadodecahedra, and 720 pentagrammic prisms. Eight cubes (or four compounds), four dodecahedra, six dodecadodecahedra, 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" (#827).
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