Great 15-4 double step prism
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| Great 15-4 double step prism | |
|---|---|
| File:Great 15-4 double step prism.png | |
| Rank | 4 |
| Type | Isogonal |
| Elements | |
| Cells | 15 rhombic disphenoids, 30+30+30+30 phyllic disphenoids, 60+60 irregular tetrahedra |
| Faces | 30 isosceles triangles, 60+60+60+60+60+60+60+60 scalene triangles |
| Edges | 15+30+30+30+30+60+60 |
| Vertices | 30 |
| Vertex figure | 19-vertex polyhedron with 34 triangular faces |
| Measures (edge length 1) | |
| Central density | 1 |
| Related polytopes | |
| Dual | Great 15-4 bigyrochoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | I2(15)+×4×I, order 60 |
| Convex | Yes |
| Nature | Tame |
The great 15-4 double step prism is a convex isogonal polychoron that consists of 15 rhombic disphenoids, 120 phyllic disphenoids of four kinds, and 120 irregular tetrahedra of two kinds. 2 rhombic disphenoids, 16 phyllic disphenoids, and 16 irregular tetrahedra join at each vertex. It can be obtained as the convex hull of two orthogonal 15-4 step prisms.