Knex Spiral/Circle Maker
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This machine is one that makes spirals and circles on paper. I mostly use this machine for fun, but the designs from it could be useful if you do some thinking. If you want it to go a little faster, you could put a grey motor in it, or gear the green motor down. I didn't, cause this way is way more simple, and the speed is fast enough for me.

What causes the machine to draw spirals instead of circles?

Nothing, but for me it is easier to draw spirals than circles. With circles, you have to make each end line up. With spirals, you can move the marker and you don't have to be as precise as circles.