Bienneagonal duotransitionalterprism

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Bienneagonal duotransitionalterprism
File:Bienneagonal duotransitionalterprism.png
Rank4
TypeIsogonal
Elements
Cells81 rectangular trapezoprisms, 18 dienneagonal prisms, 18 orthoaligned truncated enneagonal prisms
Faces324 isosceles trapezoids, 162+162 rectangles, 81 ditetragons, 36 dienneagons
Edges324+324+324+324
Vertices648
Vertex figureIrregular tetrahedron
Measures (edge length 1)
Central density1
Related polytopes
DualBienneagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(9)≀S2, order 648
ConvexYes
NatureTame

The bienneagonal duotransitionalterprism is a convex isogonal polychoron and the eighth member of the bipolygonal duotransitionalterprism family. It consists of 18 orthoaligned truncated enneagonal prisms, 18 dienneagonal prisms, and 81 rectangular trapezoprisms. 2 orthoaligned truncated enneagonal prisms, 1 dienneagonal prism, and 1 rectangular trapezoprism join at each vertex. It can be obtained as the convex hull of two orthogonal dienneagonal-dienneagonal duoprisms. However, it cannot be made scaliform.

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

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1: ≈ 1:2.32893.