Icosidigon

Icosidigon
Rank	2
Type	Regular
Notation
Coxeter diagram	x22o ()
Schläfli symbol	{22}
Elements
Edges	22
Vertices	22
Vertex figure	Dyad, length 2cos(π/22)
Measures (edge length 1)
Circumradius	${\frac {1}{2\sin {\frac {\pi }{22}}}}\approx 3.51334$
Inradius	${\frac {1}{2\tan {\frac {\pi }{22}}}}\approx 3.47758$
Area	${\frac {11}{2\tan {\frac {\pi }{22}}}}\approx 38.25334$
Angle	${\frac {10\pi }{11}}\approx 163.63636^{\circ }$
Central density	1
Number of external pieces	22
Level of complexity	1
Related polytopes
Army	{22}
Dual	Icosidigon
Conjugate	4 total
Abstract & topological properties
Flag count	44
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(22), order 44
Flag orbits	1
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".