48-17 step prism
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|48-17 step prism|
|File:48-17 step prism.png|
|Cells||96+96+96 phyllic disphenoids, 48 rhombic disphenoids|
|Faces||192+192+192 scalene triangles, 96 isosceles triangles|
|Vertex figure||16-vertex polyhedron with 28 triangular faces|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||S2(I2(48)-17)×2R, order 192|
The 48-17 step prism is a convex isogonal polychoron, member of the step prism family. It has 48 rhombic disphenoids and 288 phyllic disphenoids of three kinds as cells. 4 rhombic and 24 phyllic disphenoids join at each vertex.
The ratio between the longest and shortest edges is 1: ≈ 1:3.25936.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a 48-17 step prism of circumradius √2 are given by:
- (sin(πk/24), cos(πk/24), sin(7πk/24), cos(7πk/24)),
where k is an integer from 0 to 47.