Medial transitional 15-4 double step prism
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| Medial transitional 15-4 double step prism | |
|---|---|
| File:Medial transitional 15-4 double step prism.png | |
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 30+30 phyllic disphenoids, 15 chiral snub disphenoids |
| Faces | 30 isosceles triangles, 60+60+60 scalene triangles |
| Edges | 15+30+30+30+60 |
| Vertices | 30 |
| Vertex figure | 11-vertex polyhedron with 2 pentagons, 2 tetragons, and 8 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Medial transitional 15-4 bigyrochoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | S2(I2(15)-4)×2R, order 60 |
| Convex | Yes |
| Nature | Tame |
The medial transitional 15-4 double step prism is a convex isogonal polychoron that consists of 15 chiral snub disphenoids and 60 phyllic disphenoids of two kinds. 4 snub disphenoids, and 8 phyllic disphenoids join at each vertex. It can be obtained as the convex hull of two orthogonal 15-4 step prisms.
The ratio between the longest and shortest edges is 1:a, where a is approximately .
