I’m not sure if others are familiar with his work, the super formula is pervasive in nature, from cell geometry to plant and flower geometry. http://en.wikipedia.org/wiki/Superformula
Also here is a link to his book. http://www.researchgate.net/profile/Johan_Gielis/publication/258238188_Inventing_the_Circle_the_geometry_of_nature/file/72e7e5278129571678.pdf
Simulated Annealing and Particle Swarm Methods of Global Optimization http://papers.ssrn.com/sol3/papers.cfm?abstract_id=913667
Interestingly the superformula is now being applied to Antenna Optimisation http://www.blueeconomy.eu/m/articles/view/The-Super-Formula-and-Super-Antennas
Not that I fully understand the entire math but i thought it worth sharing on the off chance it could be usefully applied to crypto algorithms?