As a child a favourite toy was my Spirograph with which I could generate endless pretty curves!

The Nrich problem ‘**Making Maths: Planet Paths**‘ challenges students to draw some planet paths using a Spirograph. In case there is no Spirograph to hand they give instructions for making a simple one.

Alternatively try an online version. Try **Spirograph** on the Desmos Graphing calculator.

**This applet from wordsmith.org** (requires Java) allows you to have the moving circle either inside or outside the fixed circle. You can alter various parameters and experiment.

From **mathplayground.com** comes this very clear and easy to use applet (the moving circle is outside the fixed circle).

Owen Elton has written an excellent **Spirograph Autograph activity** (see Simon’s comment below) and also available on the Autograph player a very impressive** 3D Spirograph**!

For GeoGebra fans there are various applets available, including **this** which allows colour changes.