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I’ve just come across this beautiful short film illustrating various mathematical concepts, mainly from geometry, as they play out in nature. Cristóbal Vila is the graphic designer and CGI artist who made the movie. For a detailed explanation of the ideas behind the film and how Vila interpreted them, I highly recommend reading this. Vila even gracefully cops to perpetuating a common misconception, which is that Nautilus shells embody a perfect Fibonacci spiral. Kudos.
Very nice video, thank you for posting it!