Rectified hendecagonal duoprism

Rectified hendecagonal duoprism
(OFF file)
Rank	4
Type	Isogonal
Notation
Bowers style acronym	Rehendip
Elements
Cells	121 tetragonal disphenoids, 22 rectified hendecagonal prisms
Faces	484 isosceles triangles, 121 squares, 22 hendecagons
Edges	242+484
Vertices	242
Vertex figure	Wedge
Measures (based on hendecagons of edge length 1)
Edge lengths	Lacing edges (484): ${\frac {\sqrt {2}}{2\cos {\frac {\pi }{11}}}}\approx 0.73696$
	Edges of hendecagons (242): 1
Circumradius	${\sqrt {{\frac {1}{\sin ^{2}{\frac {2\pi }{11}}}}+{\frac {1}{4\sin ^{2}{\frac {\pi }{11}}}}}}\approx 2.56338$
Central density	1
Related polytopes
Army	Rehendip
Regiment	Rehendip
Dual	Joined hendecagonal duotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(11)≀S2, order 968
Convex	Yes
Nature	Tame

The rectified hendecagonal duoprism or rehendip is a convex isogonal polychoron that consists of 22 rectified hendecagonal prisms and 121 tetragonal disphenoids. 3 rectified hendecagonal duoprisms and 2 tetragonal disphenoids join at each vertex. It can be formed by rectifying the hendecagonal duoprism.

It can also be formed as the convex hull of 2 oppositely oriented semi-uniform hendecagonal duoprisms, where the edges of one hendecagon are ${\frac {1}{\cos {\frac {\pi }{11}}}}\approx 1.04222$ times as long as the edges of the other.

The ratio between the longest and shortest edges is 1:${\frac {2\cos {\frac {\pi }{11}}}{\sqrt {2}}}$ ≈ 1:1.35693.