# RegularNGons case visualizer

- Author:
- Zoltán Kovács

This applet helps you finding interesting theorems in regular polygons and polygrams. See a preprint for the concept.
By using the applet you can set

*n*to define the number of the sides of the polygon or polygram. Use*k*to explicitly define the polygon or polygram with the Schläfli symbol {*n*/*k*}. Please note that*k*must be a coprime to*n*. Interesting inputs include the following cases:*n*=11,*k*=4,*s*=50867. Here |*RS*| is near 1.*n*=11,*k*=3,*s*=40220. Here |*RS*| is near 5/3.*n*=12,*k*=5,*s*=43261. Here |*RS*| is near π. The approximation is the same as Kochański's result (1685).*n*=12,*k*=5,*s*=52958. Here |*RS*| is near π again, but this setup is simpler.*n*=15,*k*=2,*s*=381653. Here |*RS*| is even closer to π, in an exact form it is, a root of the polynomial .