Pentagonal duoantiprismatic antiprism
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Pentagonal duoantiprismatic antiprism | |
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File:Pentagonal duoantiprismatic antiprism.png | |
Rank | 5 |
Type | Isogonal |
Notation | |
Bowers style acronym | Pedapap |
Coxeter diagram | s2s10o2s10o |
Elements | |
Tera | 100 tetragonal disphenoidal pyramids, 20 digonal-pentagonal duoantiprisms, 2 pentagonal duoantiprisms |
Cells | 400 sphenoids, 100+100 tetragonal disphenoids, 20+40 pentagonal antiprisms |
Faces | 200+400+400 isosceles triangles, 40 pentagons |
Edges | 200+200+200 |
Vertices | 100 |
Vertex figure | Disphenoid-gyrobifastigium wedge |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Pentagonal duoantitegmatic antitegum |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | (I2(10)≀S2×A1)/2, order 800 |
Convex | Yes |
Nature | Tame |
The pentagonal duoantiprismatic antiprism, or pedapap, is a convex isogonal polyteron that consists of 2 pentagonal duoantiprisms, 20 digonal-pentagonal duoantiprisms, and 100 tetragonal disphenoidal pyramids. 1 pentagonal duoantiprism, 4 digonal-pentagonal duoantiprisms, and 5 tetragonal disphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the decagonal duoprismatic prism. However, it cannot be made uniform.
Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.34500.