Final evolution of my cycloid sketches. Let's you experiment with spirograph style mathematical art, which relies on understanding of gears & fractions and circle geometry, and can extend to trigonometry and parametric functions.
Cf. [url]http://en.wikipedia.org/wiki/Cycloid[/url], [url]http://en.wikipedia.org/wiki/Trochoid[/url], and [url]http://en.wikipedia.org/wiki/Spirograph[/url]
Simpler previous sketches: Hypocycloid: [url]http://www.geogebratube.org/material/show/id/29156[/url] (inner rolling), Cycloid: [url]http://www.geogebratube.org/material/show/id/29352[/url] (choice of inner and outer).
Let me know if there are any more features desired!