Islamic Star
This sketch allows the user to explore the design known as an Islamic Star. It is a double cycle of points that has a slightly different effect for even and number of points.
There is another sketch that allows the user to make multiple stars to create their own tessellation.
http://www.geogebratube.org/material/show/id/51256
Riff off of a Jennifer Silverman sketch:
http://www.geogebratube.org/material/show/id/51190