Great retropental hecatonicosachoron
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Great retropental hecatonicosachoron | |
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![]() | |
Rank | 4 |
Type | Uniform |
Space | Spherical |
Notation | |
Bowers style acronym | Griphi |
Elements | |
Cells | 120 giddy |
Faces | 1200 hexagons, 720 decagrams |
Edges | 3600 |
Vertices | 720 |
Vertex figure | Pentagonal stephanoid |
Measures (edge length 1) | |
Circumradius | |
Number of external pieces | 93600 |
Level of complexity | 272 |
Related polytopes | |
Army | Rox |
Regiment | Ragishi |
Conjugate | Mriphi |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1080 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great retropental hecatonicosachoron, or griphi, is a nonconvex noble uniform polychoron that consists of 120 great dodecicosahedra. Ten great dodecicosahedra join at each vertex.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified great stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#109).
- Klitzing, Richard. "griphi".
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