# Truncated hendecagonal duoprism

Truncated hendecagonal duoprism
Rank4
TypeIsogonal
Notation
Bowers style acronymTahendip
Elements
Cells121 tetragonal disphenois, 22 truncated hendecagonal prisms
Faces484 isosceles triangles, 121 ditetragons, 22 dihendecagons
Edges242+242+484
Vertices484
Vertex figureSphenoid
Measures (based on icosidigon edge length 1)
Edge lengthsLacing edges (484): ${\displaystyle {\frac {\sqrt {2}}{2\cos {\frac {\pi }{11}}}}\approx 0.73696}$
Edges of icosidigons (242+242): 1
Circumradius${\displaystyle {\sqrt {{\frac {1}{4\sin ^{2}{\frac {\pi }{22}}}}+{\frac {1}{4\cos ^{2}{\frac {\pi }{11}}\tan ^{2}{\frac {\pi }{22}}}}}}\approx 5.04775}$
Central density1
Related polytopes
ArmyTahendip
RegimentTahendip
DualTetrakis hendecagonal duotegum
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryI2(11)≀S2, order 968
ConvexYes
NatureTame

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 ${\displaystyle 1+{\frac {1}{\cos {\frac {\pi }{11}}}}\approx 2.04222}$.

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