Chaos! “This Equation Will Change How You See the World: The Logistic Map”.
Johnny Hymen, on Versatium, explains how natural systems (even heart rhythms) become chaotic and then recover. He plots the behavior of systems under the equation x sub (n+1) = rx (sub n) times (1- x sub n).
|equation in text|
He also explains the Feigenbaum constant approx.. 4.669, as shown in this embedded Wikipedia diagram.
It is a constant of nature that is derived strictly from math. Related to all this is the Mandelbrot set in complex numbers.