Small complex rhombicosidodecahedron
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| Small complex rhombicosidodecahedron | |
|---|---|
 | |
| Rank | 3 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sicdatrid |
| Coxeter diagram | x5/2o3x (      ) |
| Elements | |
| Faces | 20 triangles, 30 squares, 12 pentagrams |
| Edges | 60+60 |
| Vertices | 20 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Doe |
| Regiment | Sidtid |
| Conjugate | Great complex rhombicosidodecahedron |
| Abstract & topological properties | |
| Euler characteristic | -38 |
| Properties | |
| Symmetry | H3, order 120 |
| Convex | No |
The small complex rhombicosidodecahedron, or sicdatrid, is a degenerate uniform exotic polyhedroid. It consists of 12 pentagrams, 20 triangles, and 30 squares. 3 pentagrams, 3 triangles, and 6 squares join at each vertex. It can be constructed as a cantellated great icosahedron. It can also be seen as a compound of a small ditrigonary icosidodecahedron and a rhombihedron, the compound of 5 cubes, with their edges merging into tetradic edges.
External links[edit | edit source]
- Klitzing, Richard. "sicdatrid".