Prismatorhombisnub hecatonicosachoron
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Prismatorhombisnub hecatonicosachoron | |
---|---|
Rank | 4 |
Type | Scaliform |
Notation | |
Bowers style acronym | Prishi |
Coxeter diagram | |
Elements | |
Cells | 2400 trip as 1200 hexagrammic prisms, 1440 stiscu, 120 seside |
Faces | 4800+7200 triangles, 7200 squares, 1440 pentagrams |
Edges | 7200+14400 |
Vertices | 3600 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | Undefined |
Related polytopes | |
Army | Semi-uniform Srix |
Regiment | Prishi |
Conjugate | Prismatorhombiretrosnub hecatonicosachoron |
Abstract & topological properties | |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The prismatorhombisnub hecatonicosachoron, or prishi, is a scaliform polychoron. It consists of 120 small snub icosicosidodecahedra, 2400 triangular prisms combining into hexagrammic prisms, and 1440 pentagrammic cuploids. It can be formed by expanding the snub hecatonicosachoron to fit hexagrammic prisms between the seside cells and expand the pentagrammic pyramids into pentagrammic cuploids. It is notable for having icosahedral snub polyhedra as cells.
Related polychora[edit | edit source]
This polychoron is a partial holosnub of the prismatorhombated stellated hecatonicosachoron.
External links[edit | edit source]
- Klitzing, Richard. "Prishi".
- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S26).