Bihendecagonal duotransitionalterprism

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Bihendecagonal duotransitionalterprism
File:Bihendecagonal duotransitionalterprism.png
Rank4
TypeIsogonal
Elements
Cells121 rectangular trapezoprisms, 22 dihendecagonal prisms, 22 orthoaligned truncated hendecagonal prisms
Faces484 isosceles trapezoids, 242+242 rectangles, 121 ditetragons, 44 dihendecagons
Edges484+484+484+484
Vertices968
Vertex figureIrregular tetrahedron
Measures (edge length 1)
Central density1
Related polytopes
DualBihendecagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
ConvexYes
NatureTame

The bihendecagonal duotransitionalterprism is a convex isogonal polychoron and the tenth member of the bipolygonal duotransitionalterprism family. It consists of 22 orthoaligned truncated hendecagonal prisms, 22 dihendecagonal prisms, and 121 rectangular trapezoprisms. 2 orthoaligned truncated hendecagonal prisms, 1 dihendecagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal dihendecagonal-dihendecagonal duoprisms. However, it cannot be made scaliform.

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

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.35693.