Interactive Lab / Julia Sets

Escape-Time Discovered 1918 / 1919

Julia Sets

zn+1=zn2+c,c fixed,  z0 variesz_{n+1} = z_n^2 + c, \qquad c \text{ fixed}, \; z_0 \text{ varies}
Cool Fact
Julia and Fatou developed this theory independently during and after WWI — decades before computers existed to actually draw a single one of the sets their equations describe.

Rendering…