Bidecagonal duotransitionalterprism

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Bidecagonal duotransitionalterprism
File:Bidecagonal duotransitionalterprism.png
Rank4
TypeIsogonal
Elements
Cells100 rectangular trapezoprisms, 20 didecagonal prisms, 20 orthoaligned truncated decagonal prisms
Faces400 isosceles trapezoids, 200+200 rectangles, 100 ditetragons, 40 didecagons
Edges400+400+400+400
Vertices800
Vertex figureIrregular tetrahedron
Measures (edge length 1)
Central density1
Related polytopes
DualBidecagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(10)≀S2, order 800
ConvexYes
NatureTame

The bidecagonal duotransitionalterprism is a convex isogonal polychoron and the ninth member of the bipolygonal duotransitionalterprism family. It consists of 20 orthoaligned truncated decagonal prisms, 20 didecagonal prisms, and 100 rectangular trapezoprisms. 2 orthoaligned truncated decagonal prisms, 1 didecagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal didecagonal-didecagonal duoprisms. However, it cannot be made scaliform.

This polychoron can be alternated into a snub decagonal duotransitionalterprism, which is also not scaliform.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.34500.