Partially-rectified small swirlprism
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| Partially-rectified small swirlprism | |
|---|---|
| File:Partially-rectified small swirlprism.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 120 pentagonal prisms, 120 chiral rectified pentagonal prisms |
| Faces | 600 isosceles triangles, 600 rectangles, 240 pentagons |
| Edges | 600+1200 |
| Vertices | 600 |
| Vertex figure | Bilaterally-symmetric wedge |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Partially-joined small swirlprism |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | H3●I2(10), order 1200 |
| Convex | Yes |
| Nature | Tame |
The partially-rectified small swirlprism, also known as the amboprismatic transitional didecafold icosidodecaswirlchoron, is an isogonal polychoron that consists of 120 chiral rectified pentagonal prisms, 120 pentagonal prisms, and 600 vertices. 3 rectified pentagonal prisms and 2 pentagonal prisms join at each vertex. It can be constructed by general rectification of a transitive set of 600 edges of a small swirlprism.
It can also be constructed as a subsymmetrical faceting of the rectified hecatonicosachoron.
The ratio between the longest and shortest edges is 1: ≈ 1:1.61803.