# Rectified hendecagonal duoprism

Rectified hendecagonal duoprism
Rank4
TypeIsogonal
Notation
Bowers style acronymRehendip
Elements
Cells121 tetragonal disphenoids, 22 rectified hendecagonal prisms
Faces484 isosceles triangles, 121 squares, 22 hendecagons
Edges242+484
Vertices242
Vertex figureWedge
Measures (based on hendecagons of edge length 1)
Edge lengthsLacing edges (484): ${\displaystyle {\frac {\sqrt {2}}{2\cos {\frac {\pi }{11}}}}\approx 0.73696}$
Edges of hendecagons (242): 1
Circumradius${\displaystyle {\sqrt {{\frac {1}{\sin ^{2}{\frac {2\pi }{11}}}}+{\frac {1}{4\sin ^{2}{\frac {\pi }{11}}}}}}\approx 2.56338}$
Central density1
Related polytopes
ArmyRehendip
RegimentRehendip
DualJoined hendecagonal duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
ConvexYes
NatureTame

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 ${\displaystyle {\frac {1}{\cos {\frac {\pi }{11}}}}\approx 1.04222}$ times as long as the edges of the other.

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