Pentagonal duotegmatic alterprism

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Pentagonal duotegmatic alterprism
File:Pentagonal duotegmatic alterprism.png
Rank5
TypeIsogonal
Elements
Tera50 isosceles triangular-triangular duotegums, 2 pentagonal duotegums
Cells100 sphenoids, 100 rhombic disphenoids, 50 tetragonal disphenoids
Faces200 scalene triangles, 20+100 isosceles triangles
Edges20+20+50+50
Vertices20
Vertex figureJoined pentagonal scalene
Measures (edge length 1)
Central density1
Related polytopes
DualPentagonal duoprismatic altertegum
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetry((I2(10)≀S2)/2×A1)/2, order 400
ConvexYes
NatureTame

The pentagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 pentagonal duotegums and 50 isosceles triangular-triangular duotegums. 1 pentagonal duotegum and 15 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a pentagonal duotegum, or as the hull of two opposite pentagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.47337.