15-2 step prism
|15-2 step prism|
|Symmetry||I2(15)+×2×I, order 30|
|Vertex figure||Ridge-quadritriakis bi-apiculated tetrahedron|
|Cells||15+15+15+15+15+15 phyllic disphenoids|
|Faces||15+15+30+30+30+30+30 scalene triangles|
|Measures (circumradius , based on a uniform duoprism)|
|Edge lengths||13-valence (15):|
The 15-2 step prism is a convex isogonal polychoron and a member of the step prism family. It has 90 phyllic disphenoids of six kinds as cells, with 24 joining at each vertex. It can also be constructed as the 15-7 step prism.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a 15-2 step prism inscribed in a pentadecagonal duoprism with base lengths a and b are given by:
- (a*sin(2πk/15), a*cos(2πk/15), b*sin(4πk/15), b*cos(4πk/15)),
where k is an integer from 0 to 14. If the edge length differences are to be minimized, the ratio of a:b must be equivalent to 1: ≈ 1:2.78203.
[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".