30-11 step prism
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30-11 step prism | |
---|---|
File:30-11 step prism.png | |
Rank | 4 |
Type | Isogonal |
Elements | |
Cells | 60+60 phyllic disphenoids, 30 rhombic disphenoids |
Faces | 120+120 scalene triangles, 60 isosceles triangles |
Edges | 30+30+60+60 |
Vertices | 30 |
Vertex figure | 12-vetex polyhedron with 20 triangular faces |
Measures (circumradius , based on a uniform duoprism) | |
Edge lengths | 8-valence (30): |
4-valence (30): | |
5-valence (60): | |
4-valence (60): | |
Central density | 1 |
Related polytopes | |
Dual | 30-11 gyrochoron |
Abstract & topological properties | |
Flag count | 3600 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | S2(I2(30)-11)×2R, order 120 |
Convex | Yes |
Nature | Tame |
The 30-11 step prism is a convex isogonal polychoron, member of the step prism family. It has 30 rhombic disphenoids and 120 phyllic disphenoids of two kinds as cells. It is also the 30-19 step prism.
The ratio between the longest and shortest edges is 1: ≈ 1:2.10406.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a 30-11 step prism of circumradius √2 are given by:
- ,
where k is an integer from 0 to 29.