Rendering by Paul Bourke
May 2003

By Roger Bagula
C source code (Intended only to help readers replicate the fractal)

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 0 + 2.5i

Centered at 1 + 0i

Centered at 0.35 + 2.5i