More recent (probably) is "Diversity and Evolution of Butterfly Wing Patterns: An Integrative Approach" by Toshio Sekimura, H. Frederik Nijhout Arie Bos
-----Oorspronkelijk bericht----- Van: math-fun <math-fun-bounces@mailman.xmission.com> Namens Scott Vorthmann Verzonden: zaterdag 10 augustus 2019 19:23 Aan: math-fun <math-fun@mailman.xmission.com> Onderwerp: Re: [math-fun] Papilio philenor
If you’re in the Bay Area, Brad, I have lots of specimens you can look at. I was a collector in previous life. I also have a great book that Vince Matsko gave me: The Development and Evolution of Butterfly Wing Patterns, by H. Frederik Nijhout.
Scott
On 2019/08/10, at 10:17, bradklee@gmail.com wrote:
Hi Tom,
Thanks, these look helpful. I will read in more detail later, but for now I am in the field working on Spicebush and Tiger varieties.
I found some roadkill specimens, and on close observation a hypothesis occurred to me that something like tie-dye is going on during chrysalis phase.
So we probably need to do the RD equations on a folded surface. Has this ever been done?
Got to run, more sample points to take.
Cheers ++Brad
On Aug 9, 2019, at 3:43 PM, Tom Duff <td@pixar.com> wrote:
On Fri, Aug 9, 2019 at 12:48 PM Brad Klee <bradklee@gmail.com> wrote:
Most of the more recent articles I could find were more about chemical defence, than chemical morphogenesis. The later was an interest of Alan Turing in the years before his untimely death. These days, not only can we take more and more data integrals, it should also be easier to work out the theory using all sorts of computer algorithms. Any thoughts? There's a lot of recent work on reaction-diffusion, both within the biology community and in computer graphics. Two seminal papers from 1991 set off a wave of computer graphics research: http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.86.298&rep=r ep1&type=pdf ttps://www.cc.gatech.edu/~turk/my_papers/reaction_diffusion.pdf
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