The Super Spirograph curvy diamond layout sits on an 8.5″ x 11″ paper with enough room to make an epitrochoid around the outside if you keep to a smaller wheel – below 40 or so.
(If you’re in a country that uses A4 paper, you’ll be more limited.)
There are 304 teeth around the outside, and 256 on the inside. See Super Spirograph by the Numbers for details, and how you can predict the number of points your design will have.
Or you can just wing it, as I usually do. Pick a wheel and let it surprise you!
The layout goes D-D-B-C-C-B-D-D-B-C-C-B, with all the B pieces turned so that the convex side faces inwards. Be sure to use lots of putty – at least one for each piece. If you’re using pins, don’t skimp!
There are some beautiful tulip-like or lily-like effects with some wheels, and interesting geometric patterns with others. Here are some of my results.