Spirograph in HTML 5
codepen.io
codepen.io
Once the basics are described, then it uses them to go on to explore things like non-euclidian geometry (and maybe topology?).
[1] http://www.amazon.com/Turtle-Geometry-Mathematics-Artificial...
Since I'm on an old book kick today, here's a link to an old book with similar, simpler, nice graphics.
(http://www.amazon.com/Mathographics-Robert-Dixon/dp/04862663...)anyone have a java applet that still runs? :o)
[edit: the source http://www.acooke.org/spiro.svg]
If I had the time/inclination, a kickstarter based on the original toy that rendered on paper and screen might be an interesting plaything.
Another future angle could clearly involve 3d-printing of the disks.
Good stuff.
GeoKone is much more complex though and allows much more flexible geometry to be created.
{
orientation : 'vertical'
, animate : true
, value : 100 * radii[ ix + 1 ]
, slide : onChange
, change : onChange
, step : .01
}