Icositrigon

Icositrigon
Rank	2
Type	Regular
Notation
Coxeter diagram	x23o ()
Schläfli symbol	{23}
Elements
Edges	23
Vertices	23
Vertex figure	Dyad, length 2cos(π/23)
Measures (edge length 1)
Circumradius	${\frac {1}{2\sin {\frac {\pi }{23}}}}\approx 3.67197$
Inradius	${\frac {1}{2\tan {\frac {\pi }{23}}}}\approx 3.63777$
Area	${\frac {23}{4\tan {\frac {\pi }{23}}}}\approx 41.83436$
Angle	${\frac {21\pi }{23}}\approx 164.34783^{\circ }$
Central density	1
Number of external pieces	23
Level of complexity	1
Related polytopes
Army	Icositrigon
Dual	Icositrigon
Conjugate	10 total
Abstract & topological properties
Flag count	46
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(23), order 46
Flag orbits	1
Convex	Yes
Nature	Tame

The icositrigon is a polygon with 23 sides. A regular icositrigon has equal sides and equal angles.

Stellations

• 2-icositrigram
• 3-icositrigram
• 4-icositrigram
• 5-icositrigram
• 6-icositrigram
• 7-icositrigram
• 8-icositrigram
• 9-icositrigram
• 10-icositrigram
• 11-icositrigram

External links

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