The Burning Ship fractal process is similar to the Mandelbrot Set process, but now the real and imaginary components of z are replaced by their absolute values (i.e. replace – with +):
zn+1 = (|Re(zn)| + i * |Im(zn)|)2 + c
in the complex plane which will either escape or remain bounded. The difference between this calculation and that for theMandelbrot set is that the real and imaginary components are set to their respective absolute values before squaring at each iteration. The mapping is non-analytic because its real and imaginary parts do not obey the Cauchy–Riemann equations.
|Burning Ship Fractal renderings|