Truncated hendecagonal duoprism

Truncated hendecagonal duoprism
(OFF file)
Rank	4
Type	Isogonal
Notation
Bowers style acronym	Tahendip
Elements
Cells	121 tetragonal disphenois, 22 truncated hendecagonal prisms
Faces	484 isosceles triangles, 121 ditetragons, 22 dihendecagons
Edges	242+242+484
Vertices	484
Vertex figure	Sphenoid
Measures (based on icosidigon edge length 1)
Edge lengths	Lacing edges (484): ${\frac {\sqrt {2}}{2\cos {\frac {\pi }{11}}}}\approx 0.73696$
	Edges of icosidigons (242+242): 1
Circumradius	${\sqrt {{\frac {1}{4\sin ^{2}{\frac {\pi }{22}}}}+{\frac {1}{4\cos ^{2}{\frac {\pi }{11}}\tan ^{2}{\frac {\pi }{22}}}}}}\approx 5.04775$
Central density	1
Related polytopes
Army	Tahendip
Regiment	Tahendip
Dual	Tetrakis hendecagonal duotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(11)≀S2, order 968
Convex	Yes
Nature	Tame

The truncated hendecagonal duoprism or tahendip is a convex isogonal polychoron that consists of 22 truncated hendecagonal prisms and 121 tetragonal disphenoids. 1 tetragonal disphenoid and 3 truncated hendecagonal prisms join at each vertex. It can be formed by truncating the hendecagonal duoprism.

It can also be obtained as the convex hull of 2 semi-uniform hendecagonal-icosidigonal duoprisms chosen such that the icosidigonal and hendecagonal prisms have the same circumradius. if the icosidigons of this duoprism have edge length 1, the hendecagons have edge length $1+{\frac {1}{\cos {\frac {\pi }{11}}}}\approx 2.04222$.

Using the ratio method, the lowest possible ratio between the longest and shortest edges is 1:${\frac {2\cos {\frac {\pi }{11}}}{\sqrt {2}}}$ ≈ 1:1.35693.