If you've never seen Stephen Wolfram's cellular automata and the crazy complexity of the Mandelbrot Set or Langton's Ant, then go check them out! Taken from Episode #262 of 'Meanderings'. #cellularautomata

Created using following matrices of size mx3n for RGB R( z=[e(z7)/e(z5) * e(z2)/e(z1)]) G(( z=[e(z7)/e(z2) * e(z7)/e(z1)]) B( z=[e(z7)/e(z5) / e(z2)/e(z1)]) on a complex plain [-x:x, -yi:yi] and transformed

The Mandelbrot set is the set of complex numbers {\displaystyle c} c for which the function {\displaystyle f_{c}(z)=z^{2}+c} {\displaystyle f_{c}(z)=z^{2}+c} does not diverge when iterated from {\displaystyle