Retroditetrahedronary disprismatohecatonicosachoron
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Retroditetrahedronary disprismatohecatonicosachoron | |
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![]() | |
Rank | 4 |
Type | Uniform |
Space | Spherical |
Notation | |
Bowers style acronym | Raddit diphi |
Elements | |
Cells | 120 did, 720 stip, 720 pip |
Faces | 3600 squares, 1440 pentagons, 1440 pentagrams |
Edges | 3600 |
Vertices | 600 |
Measures (edge length 1) | |
Circumradius | |
Number of external pieces | 564480 |
Level of complexity | 1531 |
Related polytopes | |
Army | Hi |
Regiment | Dattady |
Conjugate | Retroditetrahedronary disprismatohecatonicosachoron |
Abstract & topological properties | |
Flag count | 115200 |
Euler characteristic | 1920 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Feral |
The retroditetrahedronary disprismatohecatonicosachoron, or raddit diphi, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 720 pentagrammic prisms, and 720 pentagonal prisms. Six dodecadodecahedra, twelve pentagrammic prisms, and twelve pentagonal 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" (#822).
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