Here's something I found today in the FAQ section of Wholemovement.com, a site dedicated to folding circles:
From looking at the examples on this site of what you can do with folded and joined circles, it does seem that there are no limits to a circle.Most paper folding starts with a polygon shape. Origami uses square paper. The square is only part of a circle that has been cut into five pieces and four are discarded. This lacks economy. The circle has infinite diameters; the square has been reduced to two. Having no sides the circle has no limits.
It will probably not surprise you to hear that Bradford Hansen-Smith, the creator/instigator of this movement, spent many years as a sculptor. I love what he is doing with circles. I feel nothing but pure, shameless joy at finding this beautiful example of the arts and math seamlessly integrated.