Pentagonal duoantiprismatic antiprism

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Pentagonal duoantiprismatic antiprism
File:Pentagonal duoantiprismatic antiprism.png
Rank5
TypeIsogonal
Notation
Bowers style acronymPedapap
Coxeter diagrams2s10o2s10o
Elements
Tera100 tetragonal disphenoidal pyramids, 20 digonal-pentagonal duoantiprisms, 2 pentagonal duoantiprisms
Cells400 sphenoids, 100+100 tetragonal disphenoids, 20+40 pentagonal antiprisms
Faces200+400+400 isosceles triangles, 40 pentagons
Edges200+200+200
Vertices100
Vertex figureDisphenoid-gyrobifastigium wedge
Measures (edge length 1)
Central density1
Related polytopes
DualPentagonal duoantitegmatic antitegum
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetry(I2(10)≀S2×A1)/2, order 800
ConvexYes
NatureTame

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.