Turing's Cake (and other wrinkly math) скачать в хорошем качестве

Turing's Cake (and other wrinkly math)

Tiger skin cake is named after its intricate striped patterns, but they might be more than just decoration. I have a hunch that this cake is an example of a Turing pattern, the same mathematical model that gives a pufferfish its spots and your brains its wrinkles. We'll learn about Turing patterns and how to simulate them, mathematical models for wrinkling surfaces, and the Swift-Hohenberg equation that was first used to describe convection -- or, at least that's how we thought it was first discovered... Become a Patreon member:   / physicsforthebirds   0:00 Intro 0:38 Patterns in Nature 2:15 Simulating Reaction-Diffusion 4:50 Cake Game Plan 6:29 Why are wrinkles wrinkly? 9:53 Turing's Unpublished Work 11:26 Conclusion Thank you to Caleb Birtwistle for captioning! Turing's paper: https://www.dna.caltech.edu/courses/c... Reaction-Diffusion in nature: https://www.science.org/doi/10.1126/s... Mbu Pufferfish:    • This is the LARGEST Freshwater Puffer in t...   Simulating Reaction-Diffusion: https://www.karlsims.com/rd.html Gray-Scott Model: https://groups.csail.mit.edu/mac/proj... Zebrafish Patterns: https://www.ncbi.nlm.nih.gov/pmc/arti... Tiger Skin Cake Recipe:    • Tiger Cake Role / 虎皮蛋糕卷 / Michael Lim   Why fingers wrinkle: https://royalsocietypublishing.org/do... Math of wrinkles: https://www.sciencedirect.com/science... Math of wrinkly spheres: https://math.mit.edu/~dunkel/Papers/2... Turing-Swift-Hohenberg EQ: https://www.researchgate.net/publicat... Turing's unpublished notes: https://www.sciencedirect.com/science... Patterns in paint blog: http://www.pforbes.org/blog/turing-pa...