Chiliagon

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Regular chiliagon
Chiliogon.svg
A regular chiliagon
TypeRegular polygon
Edges and vertices1000
Schläfli symbol{1000}, t{500}, tt{250}, ttt{125}
Coxeter diagramCDel node 1.pngCDel 10.pngCDel 0x.pngCDel 0x.pngCDel node.png
CDel node 1.pngCDel 5.pngCDel 0x.pngCDel 0x.pngCDel node 1.png
Symmetry groupDihedral (D1000), order 2×1000
Internal angle (degrees)179.64°
Dual polygonSelf
PropertiesConvex, cyclic, equilateral, isogonal, isotoxal

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

Regular chiliagon[change | change source]

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[change | change source]

The amount of space a regular chiliagon takes up is

a is the length of one of its sides.

Other pages[change | change source]