Triangular-pentagonal duoantiprismatic antiprism

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Triangular-pentagonal duoantiprismatic antiprism
File:Triangular-pentagonal duoantiprismatic antiprism.png
Rank5
TypeIsogonal
Notation
Bowers style acronymTrapedapap
Coxeter diagrams2s6o2s10o
Elements
Tera60 digonal disphenoidal pyramids, 10 digonal-triangular duoantiprisms, 6 digonal-pentagonal duoantiprisms, 2 triangular-pentagonal duoantiprisms
Cells120+120 sphenoids, 60 rhombic disphenoids, 60 digonal disphenoids, 10+20 triangular antiprisms, 6+12 pentagonal antiprisms
Faces240 scalene triangles, 60+60+120+120 isosceles triangles, 20 triangles, 12 pentagons
Edges60+60+60+60+120
Vertices60
Vertex figureDisphenoid-gyrobifastigium wedge
Measures (edge length 1)
Central density1
Related polytopes
DualTriangular-pentagonal duoantitegmatic antitegum
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetry(G2×I2(10)×A1)/2, order 240
ConvexYes
NatureTame

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.