Great inverted retrosnub icosidodecahedral prism
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| Great inverted retrosnub icosidodecahedral prism | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Girsiddip |
| Coxeter diagram | x2s5/3s3/2s (       ) |
| Elements | |
| Cells | 20+60 triangular prisms, 12 pentagrammic prisms, 2 great inverted retrosnub icosidodecahedra |
| Faces | 40+120 triangles, 30+60+60 squares, 24 pentagrams |
| Edges | 60+60+120+120 |
| Vertices | 120 |
| Vertex figure | Irregular pentagrammic pyramid, edge lengths 1, 1, 1, 1, (√5–1)/2 (base), √2 (legs) |
| Measures (edge length 1) | |
| Circumradius | ≈ 0.76577 |
| Hypervolume | ≈ 1.03760 |
| Dichoral angles | Girsid–5/2–stip: 90° |
| Girsid–3–trip: 90° | |
| Trip–4–stip: ≈ 67.31029° | |
| Trip–4–trip: ≈ 21.72466° | |
| Height | 1 |
| Central density | 37 |
| Number of pieces | 1802 |
| Related polytopes | |
| Army | Non-uniform Sniddip |
| Regiment | Girsiddip |
| Dual | Great pentagrammic hexecontahedral tegum |
| Conjugates | Snub dodecahedral prism, great snub icosidodecahedral prism, great inverted snub icosidodecahedral prism |
| Abstract properties | |
| Euler characteristic | 0 |
| Topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H3+×A1, order 120 |
| Convex | No |
| Nature | Tame |
The great inverted retrosnub icosidodecahedral prism or girsiddip is a prismatic uniform polychoron that consists of 2 great inverted retrosnub icosidodecahedra, 12 pentagrammic prisms, and 20+60 triangular prisms. Each vertex joins 1 great inverted retrosnub icosidodecahedron, 1 pentagrammic prism, and 4 triangular prisms. As the name suggests, it is a prism based on the great inverted retrosnub icosidodecahedron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#960).
- Klitzing, Richard. "girsiddip".