Dodecagonal duotransitionalterprism

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Dodecagonal duotransitionalterprism
Rank4
TypeIsogonal
Elements
Cells144 rectangular trapezoprisms, 24 dodecagonal prisms, 24 dodecagonal trapezorhombihedra
Faces576 isosceles trapezoids, 288 rectangles, 144 squares, 48 dodecagons
Edges288+576+576
Vertices576
Vertex figureIsosceles trapezoidal pyramid
Measures (edge length 1)
Central density1
Related polytopes
DualDodecagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(12)≀S2, order 1152
ConvexYes
NatureTame

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

This polychoron can be alternated into a hexagonal duotransitionalterantiprism, which is also not scaliform.

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