Small transitional 15-4 double step prism
Jump to navigation
Jump to search
| Small transitional 15-4 double step prism | |
|---|---|
| File:Small transitional 15-4 double step prism.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 30 phyllic disphenoids, 15 rhombic disphenoids, 30 tetragonal antiwedges |
| Faces | 60+60 scalene triangles, 30 isosceles triangles, 30 isosceles trapezoids |
| Edges | 15+30+30+30+30 |
| Vertices | 30 |
| Vertex figure | 9-vertex polyhedron with 2 tetragons and 10 triangles |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small 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 small transitional 15-4 double step prism is a convex isogonal polychoron that consists of 30 tetragonal antiwedges, 15 rhombic disphenoids, and 30 phyllic disphenoids. 6 tetragonal antiwedges, 2 rhombic disphenoids, and 4 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: ≈ 1:1.83631.