Great transitional 15-4 double step prism
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| Great transitional 15-4 double step prism | |
|---|---|
| File:Great transitional 15-4 double step prism.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 60 irregular tetrahedra, 30+30+30 phyllic disphenoids, 15 rhombic disphenoids, 30 bilaterally-symmetric notches |
| Faces | 60+60+60+60+60+60+60 scalene triangles |
| Edges | 15+30+30+30+30+60+60 |
| Vertices | 30 |
| Vertex figure | 17-vertex polyhedron with 3 tetragons and 24 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great 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 great transitional 15-4 double step prism is a convex isogonal polychoron that consists of 30 bilaterally-symmetric notches, 15 rhombic disphenoids, 90 phyllic disphenoids of three kinds, and 60 irregular tetrahedra. 5 bilaterally-symmetric notches, 2 rhombic disphenoids, 12 phyllic disphenoids, and 8 irregular tetrahedra 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 .