9gon_b.png copyright 07/13/2002 Andrew Weimholt |

An interesting set of figures can be created by building n-gons using multiple star polygons to form the angles.

For odd n, n-2 {n/k} polygons, where k = (n-1)/2, can be joined at a vertex to form the same angle as {n}. Do this for every vertex of {n}, And an interesting figure results.

For even n, k {n/k} polygons, where k = n/2-1, can be joined at a vertex to form the same angle as of {n}.

The odd figures look better because they use proportionally more star polygons and thus appear more intricate. (Although you can compensate by using {2n/n-1} polygons.)

This image shows an example for n=9 with the original 9-gon shown in pink .

back to Gallery index

back to Tyler Applet

back to Geometry index

back to Superliminal home