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|
|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|
|Vertex figure||17-vertex polyhedron with 3 tetragons and 24 triangles|
|Measures (edge length 1)|
|Dual||Great transitional 15-4 bigyrochoron|
|Abstract & topological properties|
|Symmetry||S2(I2(15)-4)×2R, order 60|
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 .