Snub icosidodecadodecahedral prism
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| Snub icosidodecadodecahedral prism | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sididdip |
| Coxeter diagram | x2s5/3s3s5*b (     ) |
| Elements | |
| Cells | 20+60 triangular prisms, 12 pentagonal prisms, 12 pentagrammic prisms, 2 snub icosidodecadodecahedra |
| Faces | 40+120 triangles, 60+60+60 squares, 24 pentagons, 24 pentagrams |
| Edges | 60+120+120+120 |
| Vertices | 120 |
| Vertex figure | Irregular hexagonal pyramid, edge lengths 1, 1, 1, (1+√5)/2, 1, (√5–1)/2 (base), √2 (legs) |
| Measures (edge length 1) | |
| Circumradius | ≈ 1.23284 |
| Hypervolume | ≈ 14.64198 |
| Dichoral angles | Trip–4–trip: ≈ 146.78125° |
| Trip–4–pip: ≈ 120.43401° | |
| Sided–5/2–stip: 90° | |
| Sided–5–pip: 90° | |
| Sided–3–trip: 90° | |
| Trip–4–stip: ≈ 7.35214° | |
| Height | 1 |
| Central density | 4 |
| Number of pieces | 478 |
| Related polytopes | |
| Army | Non-uniform Sniddip |
| Regiment | Sididdip |
| Dual | Medial hexagonal hexecontahedral tegum |
| Conjugate | None |
| Abstract properties | |
| Euler characteristic | –18 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H3+×A1, order 120 |
| Convex | No |
| Nature | Tame |
The snub icosidodecadodecahedral prism or sididdip is a prismatic uniform polychoron that consists of 2 snub icosidodecadodecahedra, 12 pentagrammic prisms, 12 pentagonal prisms, and 20+60 triangular prisms. Each vertex joins 1 snub icosidodecadodecahedron, 1 pentagrammic prism, 1 pentagonal prisms, and 4 triangular prisms. As the name suggests, it is a prism based on the snub icosidodecadodecahedron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#958).
- Klitzing, Richard. "sididdip".