34-13 step prism
Jump to navigation Jump to search
|34-13 step prism|
|File:34-13 step prism.png|
|Cells||68+68 phyllic disphenoids, 34 tetragonal disphenoids|
|Faces||136 scalene triangles, 68+136 isosceles triangles|
|Vertex figure||12-vertex polyhedron with 20 triangular faces|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||S2(I2(34)-13)×2I, order 136|
The 34-13 step prism is a convex isogonal polychoron, member of the step prism family. It has 34 tetragonal disphenoids and 136 phyllic disphenoids of two kinds as cells. 4 tetragonal and 16 phyllic disphenoids join at each vertex. It is also the 34-21 step prism.
The ratio between the longest and shortest edges is 1: ≈ 1:1.79149.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a 34-13 step prism of circumradius √2 are given by:
- (sin(πk/17), cos(πk/17), sin(13πk/17), cos(13πk/17)),
where k is an integer from 0 to 33.