Hendecagonal duotegmatic alterprism
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Hendecagonal duotegmatic alterprism | |
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File:Hendecagonal duotegmatic alterprism.png | |
Rank | 5 |
Type | Isogonal |
Elements | |
Tera | 242 isosceles triangular-triangular duotegums, 2 hendecagonal duotegums |
Cells | 484 sphenoids, 484 rhombic disphenoids, 242 tetragonal disphenoids |
Faces | 968 scalene triangles, 44+484 isosceles triangles |
Edges | 44+44+242+242 |
Vertices | 44 |
Vertex figure | Joined hendecagonal scalene |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Hendecagonal duoprismatic altertegum |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | ((I2(22)≀S2)/2×A1)/2, order 1936 |
Convex | Yes |
Nature | Tame |
The hendecagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 hendecagonal duotegums and 242 isosceles triangular-triangular duotegums. 2 hendecagonal duotegums and 33 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a hendecagonal duotegum, or as the hull of two opposite hendecagonal disphenoids.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.65409.