Chiliagon
| Regular chiliagon | |
|---|---|
| File:Chiliogon.svg A regular chiliagon | |
| Type | Regular polygon |
| Edges and vertices | 1000 |
| Schläfli symbol | {1000}, t{500}, tt{250}, ttt{125} |
| Coxeter diagram | File:CDel node 1.pngFile:CDel 10.pngFile:CDel 0x.pngFile:CDel 0x.pngFile:CDel node.png File:CDel node 1.pngFile:CDel 5.pngFile:CDel 0x.pngFile:CDel 0x.pngFile:CDel node 1.png |
| 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[change]
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]
The amount of space a regular chiliagon takes up is
- <math>A = 250a^2 \cot \frac{\pi}{1000} \simeq 79577.2\,a^2</math>
a is the length of one of its sides.
