Ditetrahedronary cubidishecatonicosachoron
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| Ditetrahedronary cubidishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Dittacady |
| Elements | |
| Cells | 120 compounds of five cubes, 120 dodecadodecahedra, 120 rhombidodecadodecahedra |
| Faces | 3600 squares, 1440 pentagons, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Ditetrahedronary cubidishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 2640 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The ditetrahedronary cubidishecatonicosachoron, or dittacady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecadodecahedra, and 120 rhombidodecadodecahedra. Eight cubes (or four compounds), six dodecadodecahedra, and twelve rhombidodecadodecahedra 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" (#832).
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