But I think that my favorite Turing paper is one he wrote after the war called The Chemical Basis of Morphogenesis. It describes an idea he had for how all of the different patterns on the skins of various animals are formed. It's really a very simple idea. You have two chemicals which are distributed nonuniformly through the skin of the animal. They react with each other, and they each diffuse from areas with high concentrations to areas with low concentrations. It turns out that fiddling the reaction rates and the diffusion rates can yield all sorts of different patterns which look very similar to patterns you see in nature.... 続きを読む >>

Happy New YearI hope that you had a great year and that next year is even better for you.Here's a little bit of fluff to finish out 2014.n1 = 5; n2 = 200; n3 = 500; ang1 =... 続きを読む >>

After my post about using MATLAB Graphics from Simulink, Aditya had a great question about using this technique for 3D animations. This is a really interesting area, and I really wanted to use a 3D example for that post. Unfortunately I couldn't come up with one that was simple enough to fit into that blog post. But if you do decide to explore this area on your own, or even if you're doing 3D animations without Simulink, there are some tricks you should probably know about.... 続きを読む >>

Today we're going to take a break from the math behind parametric curves and take a look at using MATLAB Graphics from Simulink.... 続きを読む >>