Small 15-4 double step prism
Jump to navigation
Jump to search
| Small 15-4 double step prism | |
|---|---|
| File:Small 15-4 double step prism.png | |
| Rank | 4 |
| Type | Isogonal |
| Space | Spherical |
| Elements | |
| Cells | 15 rhombic disphenoids, 30+30+30 phyllic disphenoids, 60 irregular tetrahedra |
| Faces | 30 isosceles triangles, 60+60+60+60+60 scalene triangles |
| Edges | 15+30+30+30+30+60 |
| Vertices | 30 |
| Vertex figure | 13-vertex polyhedron with 22 triangular faces |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Small 15-4 bigyrochoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(15)+×4×I, order 60 |
| Convex | Yes |
| Nature | Tame |
The small 15-4 double step prism is a convex isogonal polychoron that consists of 15 rhombic disphenoids, 90 phyllic disphenoids of three kinds, and 60 irregular tetrahedra. 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.
This polychoron cannot be optimized using the ratio method, because the solution would yield a medial 15-4 double step prism instead.