Snub dodecadodecahedral prism
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| Snub dodecadodecahedral prism | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Siddiddip |
| Coxeter diagram | x2s5/2s5s (      ) |
| Elements | |
| Cells | 60 triangular prisms, 12 pentagonal prisms, 12 pentagrammic prisms, 2 snub dodecadodecahedra |
| Faces | 120 triangles, 30+60+60 squares, 24 pentagons, 24 pentagrams |
| Edges | 60+60+120+120 |
| Vertices | 120 |
| Vertex figure | Irregular pentagonal pyramid, edge lengths 1, 1, (1+√5)/2, 1, (√5–1)/2 (base), √2 (legs) |
| Measures (edge length 1) | |
| Circumradius | ≈ 1.36901 |
| Hypervolume | ≈ 18.25642 |
| Dichoral angles | Trip–4–pip: ≈ 157.77792° |
| Trip–4–trip: ≈ 151.48799° | |
| Trip–4–stip: ≈ 129.79515° | |
| Siddid–5/2–stip: 90° | |
| Siddid–5–pip: 90° | |
| Siddid–3–trip: 90° | |
| Height | 1 |
| Central density | 3 |
| Number of external pieces | 434 |
| Related polytopes | |
| Army | Non-uniform Sniddip |
| Regiment | Siddiddip |
| Dual | Medial pentagonal hexecontahedral tegum |
| Conjugate | Inverted snub dodecadodecahedral prism |
| Abstract & topological properties | |
| Euler characteristic | –8 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3+×A1, order 120 |
| Convex | No |
| Nature | Tame |
The snub dodecadodecahedral prism or siddiddip is a prismatic uniform polychoron that consists of 2 snub dodecadodecahedra, 12 pentagrammic prisms, 12 pentagonal prisms, and 60 triangular prisms. Each vertex joins 1 snub dodecadodecahedron, 1 pentagrammic prism, 1 pentagonal prisms, and 3 triangular prisms. As the name suggests, it is a prism based on the snub dodecadodecahedron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#953).
- Klitzing, Richard. "siddiddip".