Small spinohecatonicosidishexacosichoron
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Small spinohecatonicosidishexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Sanhiddix |
Elements | |
Cells | 600 tetrahedra, 600 truncated tetrahedra, 120 small dodecicosahedra |
Faces | 2400 triangles, 2400 hexagons, 720 decagons |
Edges | 3600+3600 |
Vertices | 2400 |
Vertex figure | Triangular corwn, edge lengths 1 (top triangle), √3 (side edges of triangles). and √(5+√5)/2 (edges between butterflies) |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Tet–3–tut: |
Siddy–6–tut: | |
Siddy–10–siddy: 72° | |
Number of external pieces | 193800 |
Level of complexity | 625 |
Related polytopes | |
Army | Semi-uniform Sidpixhi |
Regiment | Sadixady |
Conjugate | Great spinohecatonicosidishexacosichoron |
Abstract & topological properties | |
Euler characteristic | –600 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small spinohecatonicosidishexacosichoron, or sanhiddix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 600 truncated tetrahedra, and 120 small dodecicosahedra. One tetrahedron, three truncated tetrahedra, and three small dodecicosahedra join at each vertex.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small dishexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 11: Antipodiumverts" (#474).