Medial 13-5 double step prism
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|Medial 13-5 double step prism|
|File:Medial 13-5 double step prism.png|
|Cells||13 tetragonal disphenoids, 26 phyllic disphenoids, 52+52 irregular tetrahedra|
|Faces||26+52 isosceles triangles, 52+52+52+52 scalene triangles|
|Vertex figure||13-vertex polyhedron with 22 triangular faces|
|Measures (edge length 1)|
|Dual||Medial 13-5 bigyrochoron|
|Abstract & topological properties|
|Symmetry||I2(13)+×4×I, order 52|
The medial 13-5 double step prism is a convex isogonal polychoron that consists of 13 tetragonal disphenoids, 26 phyllic disphenoids, and 104 irregular tetrahedra of two kinds. 2 tetragonal disphenoids, 4 phyllic disphenoids, and 16 irregular tetrahedra join at each vertex. It can be obtained as the convex hull of two orthogonal 13-5 step prisms.
This polychoron cannot be optimized using the ratio method, because the solution (a/b = (2+√4+2cos(π/13)+2sin(3π/26))/(2cos(2π/13)) would yield a small 13-5 double step prism instead.