Small omnicircumfacetopental trishecatonicosachoron
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Small omnicircumfacetopental trishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Som fapathi |
Elements | |
Cells | 120 icosahedra, 120 icosidodecahedra, 120 small rhombicosidodecahedra |
Faces | 1200+2400 triangles, 1800 squares, 1440 pentagons |
Edges | 3600 |
Vertices | 720 |
Edge figure | id.srid.srid.ike.srid.srid.id |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Id–3–id: 120° |
Ike–3–srid: 120° | |
Srid–4–srid: 90° | |
Id–5–srid: 36° | |
Number of external pieces | 19320 |
Level of complexity | 33 |
Related polytopes | |
Army | Rox |
Regiment | Rox |
Conjugate | Great invertipental trishecatonicosachoron |
Convex core | Hecatonicosachoron |
Abstract & topological properties | |
Flag count | 100800 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The small omnicircumfacetopental trishecatonicosachoron, or som fapathi, is a nonconvex uniform polychoron that consists of 120 icosahedra, 120 icosidodecahedra, and 120 small rhombicosidodecahedra. 2 icosahedra, 5 icosidodecahedra, and 10 small rhombicosidodecahedra join at eachv ertex.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#83).