Icositrigon

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

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

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".