Hexagonal duotegmatic alterprism
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Hexagonal duotegmatic alterprism | |
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File:Hexagonal duotegmatic alterprism.png | |
Rank | 5 |
Type | Isogonal |
Elements | |
Tera | 72 isosceles triangular-triangular duotegums, 2 hexagonal duotegums |
Cells | 144 sphenoids, 144 rhombic disphenoids, 72 tetragonal disphenoids |
Faces | 288 scalene triangles, 24+144 isosceles triangles |
Edges | 24+24+72+72 |
Vertices | 24 |
Vertex figure | Joined hexagonal scalene |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Hexagonal duoprismatic altertegum |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | ((I2(12)≀S2)/2×A1)/2, order 576 |
Convex | Yes |
Nature | Tame |
The hexagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 hexagonal duotegums and 72 isosceles triangular-triangular duotegums. 1 hexagonal duotegum and 18 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a hexagonal duotegum, or as the hull of two opposite hexagonal disphenoids.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.65289.