Mandelbrot Set | CMPE016, Winter 17, Section 01

Submitted by kajemart on March 9, 2017 - 2:08pm

I've recently stumbled across The Mandelbrot Set & I think it shows how cool discrete math can be! Here is a video showing the "Deepest Mandelbrot Zoom Animation Ever." I'd suggest bunkering down with some friends, perfrorming some recreational activities, and diving into the video.

"The Mandelbrot set is the set of complex numbers $c$ for which the function $f_{c}(z)=z^{2}+c$ does not diverge when iterated from $z=0$ , i.e., for which the sequence $f_{c}(0)$ , $f_{c}(f_{c}(0))$ , etc., remains bounded in absolute value."

"Images of the Mandelbrot set exhibit an elaborate and infinitely complicated boundary that reveals progressively ever-finer recursive detail at increasing magnifications. The "style" of this repeating detail depends on the region of the set being examined. The set's boundary also incorporates smaller versions of the main shape, so the fractal property of self-similarity applies to the entire set, and not just to its parts."

Also, here is the wiki page on the Mandelbrot set if anyone wants to learn more about it.

Hope ya'll enjoy!!!