Monday, June 17, 2019

The Mandelbrot Set: a secret of life buried in the complex variable plane


I’ve not talked about the Mandelbrot set here before. So here is “The Mandelbrot Set: How It Works and Why It Is Amazing”, by Jimi.


It is a set of numbers c on the complex variable plane for which f-c(z) = z**2 + c does not diverge when starting at z-0.  It is a fractal of self-similarity, which generates amazing shapes with cardioid edges that seem to grow like plants.

This mathematical beauty seems to point to how life would evolve in an organic soup. It’s very existence seems fundamental almost to consciousness and reproduction.

This is a relative short video, but there are much longer ones on YouTube which we can come back to later.

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