Triangular-pentagonal duoantiprismatic antiprism
Jump to navigation
Jump to search
Triangular-pentagonal duoantiprismatic antiprism | |
---|---|
File:Triangular-pentagonal duoantiprismatic antiprism.png | |
Rank | 5 |
Type | Isogonal |
Notation | |
Bowers style acronym | Trapedapap |
Coxeter diagram | s2s6o2s10o |
Elements | |
Tera | 60 digonal disphenoidal pyramids, 10 digonal-triangular duoantiprisms, 6 digonal-pentagonal duoantiprisms, 2 triangular-pentagonal duoantiprisms |
Cells | 120+120 sphenoids, 60 rhombic disphenoids, 60 digonal disphenoids, 10+20 triangular antiprisms, 6+12 pentagonal antiprisms |
Faces | 240 scalene triangles, 60+60+120+120 isosceles triangles, 20 triangles, 12 pentagons |
Edges | 60+60+60+60+120 |
Vertices | 60 |
Vertex figure | Disphenoid-gyrobifastigium wedge |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Triangular-pentagonal duoantitegmatic antitegum |
Abstract & topological properties | |
Euler characteristic | 2 |
Orientable | Yes |
Properties | |
Symmetry | (G2×I2(10)×A1)/2, order 240 |
Convex | Yes |
Nature | Tame |
The triangular-pentagonal duoantiprismatic antiprism, or trapedapap, is a convex isogonal polyteron that consists of 2 triangular-pentagonal duoantiprisms, 6 digonal-pentagonal duoantiprisms, 10 digonal-triangular duoantiprisms, and 60 digonal disphenoidal pyramids. 1 triangular-pentagonal duoantiprism, 2 digonal-pentagonal duoantiprisms, 2 digonal-triangular duoantiprisms, and 5 digonal disphenoidal pyramids join at each vertex. It can be obtained through the process of alternating the hexagonal-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: ≈ 1:1.28066.