Objective origami

Objective origami 

We have given a nearly complete description of all origami structures, including algorithms for constructing them, for the helical groups.  We have also made progress developing algorithms for both nondiscrete groups and the conformal groups.  We discovered a method of morphing structures by borrowing some ideas from phase transformations.  Conditions of compatibility that we have developed in our studies of phase transformations are proving to be extremely useful.  We have begun to develop algorithms that systematically can find foldable structures within a certain topological class, from a non foldable initial state.  This is a systematic method of “discovering origami