“The axioms assume that the operations are completed on a plane (i.e. a perfect piece of paper), and that all folds are linear.”
That is one way to describe origami. I like the hands on approach better:
This beautiful collection (only parts of it are shown) came from Boston via Burbank to L.A. Thank you, what a wonderful gift.
Lotus, fish, turtles, cranes… such delicate examples of an old art still very much alive today. So very much alive that even the mathematicians could not keep away from it. Although I must say – any origami master would probably tell me that the secret is indeed a linear fold without having to throw out some complicated formulas of the axioms.