Hexagonal duotegmatic alterprism

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Hexagonal duotegmatic alterprism
File:Hexagonal duotegmatic alterprism.png
Rank5
TypeIsogonal
Elements
Tera72 isosceles triangular-triangular duotegums, 2 hexagonal duotegums
Cells144 sphenoids, 144 rhombic disphenoids, 72 tetragonal disphenoids
Faces288 scalene triangles, 24+144 isosceles triangles
Edges24+24+72+72
Vertices24
Vertex figureJoined hexagonal scalene
Measures (edge length 1)
Central density1
Related polytopes
DualHexagonal duoprismatic altertegum
Abstract & topological properties
Euler characteristic2
OrientableYes
Properties
Symmetry((I2(12)≀S2)/2×A1)/2, order 576
ConvexYes
NatureTame

The hexagonal duotegmatic alterprism is a convex isogonal polyteron that consists of 2 hexagonal duotegums and 72 isosceles triangular-triangular duotegums. 1 hexagonal duotegum and 18 isosceles triangular-triangular duotegums join at each vertex. It can be formed as an alterprism of a hexagonal duotegum, or as the hull of two opposite hexagonal disphenoids.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:1.65289.