Icosidigon

Icosidigon
Rank	2
Type	Regular
Space	Spherical
Notation
Coxeter diagram	x22o
Schläfli symbol	{22}
Elements
Edges	22
Vertices	22
Vertex figure	Dyad, length 2cos(π/22)
Measures (edge length 1)
Circumradius	$\frac{1}{2\sin\frac{\pi}{22}} ≈ 3.51334$
Inradius	$\frac{1}{2\tan\frac{\pi}{22}} ≈ 3.47758$
Area	$\frac{11}{2\tan\frac{\pi}{22}} ≈ 38.25334$
Angle	$\frac{10\pi}{11} ≈ 163.63636°$
Central density	1
Number of pieces	22
Level of complexity	1
Related polytopes
Army	{22}
Dual	Icosidigon
Conjugate	4 total
Abstract properties
Euler characteristic	0
Topological properties
Orientable	Yes
Properties
Symmetry	I2(22), order 44
Convex	Yes
Nature	Tame

The icosidigon is a polygon with 22 sides. A regular icosidigon has equal sides and equal angles.

Stellations

• 2-icosidigram (compound of 2 hendecagons)
• 3-icosidigram
• 4-icosidigram (compound of 2 small hendecagrams)
• 5-icosidigram
• 6-icosidigram (compound of 2 medial hendecagrams)
• 7-icosidigram
• 8-icosidigram (compound of 2 great hendecagrams)
• 9-icosidigram
• 10-icosidigram (compound of 2 grand hendecagrams)

External links

• Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".