Small small dishecatonicosachoron
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| Small small dishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Sisady |
| Elements | |
| Cells | 120 great dodecicosahedra, 120 icosidodecatruncated icosidodecahedra |
| Faces | 2400 hexagons, 720 decagons, 1440 decagrams |
| Edges | 3600+7200 |
| Vertices | 3600 |
| Vertex figure | Crossed butterfly wedge, edge lengths √3 (4), √(5+√5)/2 (2), and √(5–√5)/2 (4) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Giddy–6–idtid: 120° |
| Idtid–10–idtid: 108° | |
| Giddy–10/3–idtid: 108° | |
| Related polytopes | |
| Army | Srahi |
| Regiment | Swav ditathi |
| Conjugate | Great small dishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –2880 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The small small dishecatonicosachoron, or sisady, is a nonconvex uniform polychoron that consists of 120 great dodecicosahedra and 120 icosidodecatruncated icosidodecahedra. Two great dodecicosahedra and four icosidodecatruncated icosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small sphenoverted ditrigonal trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#239).