Origami holds the whole of topology contained within it. It's n-dimensionalriffic.
Take a piece of paper, fold it into any flat origami, and make one complete straight cut (i.e., a cut along a line). Now unfold the
pieces, and see what you get. Are all shapes possible? Refering back to the original sheet of paper, what patterns of cuts can be
achieved by this process?[…]
The theorem is that every pattern (plane graph) can be made by folding and one complete straight cut. This includes single (possibly nonconvex)
polygons, multiple disjoint polygons, nested polygons, adjoining polygons, and even floating line segments and points.
(Thanks, Eli the Bearded!)
