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An x and -x with 0 always = straight (slanted) line;
A quadrilateral: -90, 90, -90;
Interesting wire-frame cylinders: 1, x, -x (ex: 1, 90, -90) Higher numbers = clearer shape; you can replace 1 with 2, 3, or a decimal, but 1 yields the best results IMO.
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10pi/10phi/10pi (31.41593, 16.18034. 31.41593) is pretty (swapping the inside and outside numbers just makes it bigger).
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7, 10, 3.14159 looks like a child's scribble at the beginning, but with enough patience it traces a flower type bit it straight black
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Very nice game. It's a great visualisation of how guillauche and similar concepts like spirograph work. It's also cool that one can share his creations by merely three simple figures...very well done :-)
More than a random button I'd wish an "auto-draw" feature though. With long patterns it's sometimes hard to judge whether the pattern is still evolving or your hand has trembled.