39-14 step prism
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|39-14 step prism|
|File:39-14 step prism.png|
|Cells||78+78+78 phyllic disphenoids|
|Faces||156+156 scalene triangles, 78+78 isosceles triangles|
|Vertex figure||14-vertex polyhedron with 24 triangular faces|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||S2(I2(39)-14)×2R, order 156|
The 39-14 step prism is a convex isogonal polychoron, member of the step prism family. It has 234 phyllic disphenoids of three kinds as cells. 24 disphenoids join at each vertex. It is also the 39-25 step prism.
The ratio between the longest and shortest edges is 1: ≈ 1:2.67999.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a 39-14 step prism of circumradius √2 are given by:
- (sin(2πk/39), cos(2πk/39), sin(28πk/39), cos(28πk/39)),
where k is an integer from 0 to 38.