Hendecagonal duotransitionalterprism

Hendecagonal duotransitionalterprism
Rank	4
Type	Isogonal
Elements
Cells	121 rectangular trapezoprisms, 22 hendecagonal prisms, 22 hendecagonal trapezorhombihedra
Faces	484 isosceles trapezoids, 242 rectangles, 121 squares, 44 hendecagons
Edges	242+484+484
Vertices	484
Vertex figure	Isosceles trapezoidal pyramid
Measures (edge length 1)
Central density	1
Related polytopes
Dual	Hendecagonal duotransitionaltertegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(11)≀S2, order 968
Convex	Yes
Nature	Tame

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

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:$1+{\sqrt {2}}\cos {\frac {\pi }{11}}$ ≈ 1:2.35693.