Chiliagon

Chiliagon
Rank	2
Type	Regular
Notation
Coxeter diagram	x1000o ()
Schläfli symbol	{1000}
Elements
Edges	1000
Vertices	1000
Vertex figure	Dyad, length $2\cos(\pi /1000)$
Measures (edge length 1)
Circumradius	${\frac {1}{2\sin \left({\frac {\pi }{1000}}\right)}}\approx 159.15520$
Inradius	${\frac {1}{2\tan \left({\frac {\pi }{1000}}\right)}}\approx 159.15442$
Area	${\frac {250}{\tan \left({\frac {\pi }{1000}}\right)}}\approx 79577.20975$
Angle	${\frac {499\pi }{500}}=179.6^{\circ }$
Central density	1
Related polytopes
Army	{1000}
Dual	Chiliagon
Abstract & topological properties
Flag count	2000
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(1000), order 2000
Flag orbits	1
Convex	Yes
Net count	1
Nature	Tame

The chiliagon is a polygon with a thousand sides. A regular chiliagon has equal sides and equal angles.

External links

Wikipedia contributors. "Chiliagon".