Lemon

Rendering by Paul Bourke
Inspired by Roger Bagula
May 2003


The "lemon" is created by iterating the following complex valued series and shading by how long it takes to converge to some constant.... a bit like the opposite of how the traditional Mandelbrot is shaded.

zn+1 = z0 zn2 (zn2 + 1) / (zn2 - 1)2

Centered at 0 + 0i


Centered at 1.2 + 0i


Centered at 0 + 3.5i


Centered at 1 + i