Small pental dishecatonicosintercepted hecatonicosachoron
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Small pental dishecatonicosintercepted hecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Spidhiny |
Elements | |
Cells | 120 ike, 120 giid, 120 quit sissid |
Faces | 2400 triangles, 1440 pentagons, 1200 hexagons, 720 decagrams |
Edges | 3600 |
Vertices | 720 |
Measures (edge length 1) | |
Circumradius | |
Number of external pieces | 41040 |
Level of complexity | 89 |
Related polytopes | |
Army | Rox |
Regiment | Ragishi |
Conjugate | Girphinady |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 2520 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small pental dishecatonicosintercepted hecatonicosachoron, or spidhiny, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 great icosicosidodecahedra, and 120 quasitruncated small stellated dodecahedra. Two icosahedra, ten great icosicosidodecahedra, and ten quasitruncated small stellated dodecahedra 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" (#116).
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