Chiliagon

Regular chiliagon
A regular chiliagon
Type	Regular polygon
Edges and vertices	1000
Schläfli symbol	{1000}, t{500}, tt{250}, ttt{125}
Coxeter diagram
Symmetry group	Dihedral (D1000), order 2×1000
Internal angle (degrees)	179.64°
Dual polygon	Self
Properties	Convex, cyclic, equilateral, isogonal, isotoxal

A chiliagon or 1000-gon is a shape with 1000 sides and 1000 corners.

Regular chiliagon

A regular chiliagon is represented by Schläfli symbol {1000} and can be constructed as a truncated 500-gon, t{500}, or a twice-truncated 250-gon, tt{250}, or a thrice-truncated 125-gon, ttt{125}.

Area

The amount of space a regular chiliagon takes up is

$A=250a^{2}\cot {\frac {\pi }{1000}}\simeq 79577.2\,a^{2}$

a is the length of one of its sides.

Related pages

• Circle
• Hectogon
• Myriagon