Listened to an amazing Stuff You Should Know podcast about Fractals. This is amazing mathematics! They figured out how to use this seemingly theoretical and pointless math to do things like complex 3D graphics for film, finding cancer growths, and calculating the power of a whole rain forest by measuring a single tree.
More about fractals:
The Mandelbrot set is a famous fractal.
A fractal is a shape that’s self-similar, meaning that no matter how much you zoom in on it, you will keep seeing the same shape.
(As you explore the edges of the Mandelbrot set, you will find that it contains many tiny Mandelbrot sets, and the edges of those contain… well, you get the idea.)
The Mandelbrot set is named after Benoît Mandelbrot (1924-2010), a Franco-American mathematician who studied it and coined the term fractal. It’s especially remarkable because it’s based on a very simple mathematical equation, yet it produces beautiful images of literally infinite complexity.
Even though the equation is simple, it must be computed millions of times to display a single image. This used to require a supercomputer but now it can be done on a cell phone.