Hendecagonal duotegum

Hendecagonal duotegum
(OFF file)
Rank	4
Type	Noble
Space	Spherical
Notation
Bowers style acronym	Hendit
Coxeter diagram	m11o2m11o
Elements
Cells	121 tetragonal disphenoids
Faces	242 isosceles triangles
Edges	22+121
Vertices	22
Vertex figure	Hendecagonal tegum
Measures (based on hendecagons of edge length 1)
Edge lengths	Base (22): 1
	Lacing (121): $\frac{\sqrt2}{2\sin\frac{\pi}{11}} ≈ 2.50985$
Circumradius	$\frac{1}{2\sin\frac{\pi}{11}} ≈ 1.77473$
Inradius	$\frac{\sqrt2}{4\tan\frac{\pi}{11}} ≈ 1.20409$
Central density	1
Related polytopes
Army	Hendit
Regiment	Hendit
Dual	Hendecagonal duoprism
Conjugates	Small hendecagrammic duotegum, hendecagrammic duotegum, great hendecagrammic duotegum, grand hendecagrammic duotegum
Abstract & topological properties
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(11)≀S2, order 968
Convex	Yes
Nature	Tame

The hendecagonal duotegum or hendit, also known as the hendecagonal-hendecagonal duotegum, the 11 duotegum, or the 11-11 duotegum, is a noble duotegum that consists of 121 tetragonal disphenoids and 22 vertices, with 22 cells joining at each vertex. It is also the 22-10 step prism. It is the first in an infinite family of isogonal hendecagonal hosohedral swirlchora and also the first in an infinite family of isochoric hendecagonal dihedral swirlchora.