Myriagon

Myriagon
Rank	2
Type	Regular
Notation
Coxeter diagram	x10000o ()
Schläfli symbol	{10000}
Elements
Edges	10000
Vertices	10000
Vertex figure	Dyad, length $2\cos(\pi /10000)$
Measures (edge length 1)
Circumradius	${\frac {1}{2\sin \left({\frac {\pi }{10000}}\right)}}\approx 1591.54946$
Inradius	${\frac {1}{2\tan \left({\frac {\pi }{10000}}\right)}}\approx 1591.54938$
Area	${\frac {2500}{\tan \left({\frac {\pi }{10000}}\right)}}\approx 7957746.89280$
Angle	${\frac {4999\pi }{5000}}=179.964^{\circ }$
Central density	1
Related polytopes
Army	{10000}
Dual	Myriagon
Abstract & topological properties
Flag count	20000
Euler characteristic	0
Orientable	Yes
Properties
Symmetry	I2(10000), order 20000
Flag orbits	1
Convex	Yes
Net count	1
Nature	Tame

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

External links

Wikipedia contributors. "Myriagon".