Pentagonal duotegmatic alterprism
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Pentagonal duotegmatic alterprism | |
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File:Pentagonal duotegmatic alterprism.png | |
Rank | 5 |
Type | Isogonal |
Elements | |
Tera | 50 isosceles triangular-triangular duotegums, 2 pentagonal duotegums |
Cells | 100 sphenoids, 100 rhombic disphenoids, 50 tetragonal disphenoids |
Faces | 200 scalene triangles, 20+100 isosceles triangles |
Edges | 20+20+50+50 |
Vertices | 20 |
Vertex figure | Joined pentagonal scalene |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Pentagonal duoprismatic altertegum |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | ((I2(10)≀S2)/2×A1)/2, order 400 |
Convex | Yes |
Nature | Tame |
The pentagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 pentagonal duotegums and 50 isosceles triangular-triangular duotegums. 1 pentagonal duotegum and 15 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a pentagonal duotegum, or as the hull of two opposite pentagonal disphenoids.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.47337.