Folding the Circle
A friend was just visiting and brought the book, _The Geometry of Wholemovement_ by Bradford Hansen-Smith (ISBN 1-887229-24-8)
Hansen-Smith folds complex polyhedra out of circles, specifically paper pie plates. He writes of his method: "There was no measurement, only the proportional movement of dividing into the circle. I could form a circle into a tetrahedron, truncate it, reform it into an octahedron, into a tetrahelix, transform it into a cube and a hundred other spatial configurations simply by an in-and-out moving of a pattern of folded lines."
The book is excellent. You can get it from the author:
4606 N Elston #3
Chicago, IL 60630