Great ditetrahedronary prismatocubidishecatonicosachoron
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| Great ditetrahedronary prismatocubidishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gidtapacady |
| Elements | |
| Cells | 120 compounds of five cubes, 120 dodecahedra, 720 pentagrammic prisms, 120 icosidodecadodecahedra |
| Faces | 3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 73680 |
| Level of complexity | 153 |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Ditetrahedronary prismatocubidishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 144000 |
| Euler characteristic | 3120 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great ditetrahedronary prismatocubidishecatonicosachoron, or gidtapacady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecahedra, 720 pentagrammic prisms, and 120 icosidodecadodecahedra. Eight cubes (or four compounds), four dodecahedra, twelve pentagrammic prisms, and twelve icosidodecadodecahedra 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" (#840).
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