Bidodecagonal duotransitionalterprism

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Bidodecagonal duotransitionalterprism
File:Bidodecagonal duotransitionalterprism.png
Rank4
TypeIsogonal
Elements
Cells144 rectangular trapezoprisms, 24 didodecagonal prisms, 24 orthoaligned truncated dodecagonal prisms
Faces576 isosceles trapezoids, 288+288 rectangles, 144 ditetragons, 48 didodecagons
Edges576+576+576+576
Vertices1152
Vertex figureIrregular tetrahedron
Measures (edge length 1)
Central density1
Related polytopes
DualBidodecagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

The bidodecagonal duotransitionalterprism is a convex isogonal polychoron and the eleventh member of the bipolygonal duotransitionalterprism family. It consists of 24 orthoaligned truncated dodecagonal prisms, 24 didodecagonal prisms, and 144 rectangular trapezoprisms. 2 orthoaligned truncated dodecagonal prisms, 1 didodecagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal didodecagonal-didodecagonal duoprisms. However, it cannot be made scaliform.

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

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.36603.