John Baez originally shared this post:
My last post showed a video of a 'multi-scale Turing pattern' which creates patterns that look biological. But it had perfect 3-fold symmetry artificially imposed on it, which is a bit of a cheat. Nature builds symmetrical patterns in some more subtle way – 'imperfect' but robust. So until we figure that out, I like this asymmetrical example better.
W. Blut wrote:
"It’s been more than two years since I came across his [Jonathan McCabe's] multi-scale Turing patterns. They instantly intrigued me. And although I could recreate the gist of his images, I could never overcome the practical problems. In fact, the code proved hazardous to the elderly, infants and pregnant women. I thought my lack of numerical skill in tackling the huge equations I ran into was the problem. It was ponderously slow and I suspected Jonathan had a secret lair packed with supercomputers."
"Turns out I was being silly. An almost incidental post on Flickr revealed that Jonathan has a paper on his cyclic symmetric multi-scale Turing patt.., what the hell, on his McCabeisms. And it’s full of DTC lines (a rarely needed acronym for “damn that’s clever”). Seems I wasn’t barking up the wrong tree, I was in the wrong forest, on the wrong continent, on the wrong planet… As if that wasn’t enough, Jason Rampe provides a blog post with useful pointers in implementing Jonathan’s idea. I say pointers, it’s actually more of a very elaborate pseudocode than a blog post. So the McCabeism is out there, ready to be implemented by anyone."
"So I did, […] and thanks to Jason, it only took a few hours."
All the references can be found here: