Humaiki Huzita, an Italian-Japanese mathematician, developed a sequence of six increasingly complex origami axioms that describe, at the most basic level, how any two points on a flat surface can be connected in a single line fold, and at the most complex level, the ways that four points on a flat surface can be related.In addition to classic origami designs, such as cranes, toads, and envelopes, all kinds of nifty niche designs that have been created. These origami patterns are unique, and bound to appeal to anyone looking for something just a little different. Kids love them too. Below are some links to some very good directions on making some complex Origami's.