Retroprismatorhombisnub hecatonicosachoron
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Retroprismatorhombisnub hecatonicosachoron | |
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Rank | 4 |
Type | Scaliform |
Notation | |
Bowers style acronym | Raprishi |
Coxeter diagram | |
Elements | |
Cells | 2400 triangular prisms as 1200 hexagrammic prisms, 1440 pentagrammic cupolae, 120 small snub icosicosidodecahedra |
Faces | 4800 triangles as 2400 hexagrams, 7200 triangles, 7200 squares, 1440 pentagrams, 720 decagrams |
Edges | 7200+14400 |
Vertices | 3600 |
Related polytopes | |
Army | Semi-uniform Prix |
Regiment | Raprishi |
Conjugate | Retroprismatorhombiretrosnub hecatonicosachoron |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The retroprismatorhombisnub hecatonicosachoron, or raprishi, is a scaliform polychoron. It consists of 120 small snub icosicosidodecahedra, 2400 triangular prisms combining into hexagrammic prisms, and 1440 pentagrammic cupolae. It can be formed by expanding the snub hecatonicosachoron to fit retrograde hexagrammic prisms between the small snub icosicosidodecahedron cells and expanding the pentagrammic pyramids into pentagrammic cupolae. It is notable for having icosahedral snub polyhedra as cells.
External links[edit | edit source]
- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S28).