Generating Fractal Images

Mandelbrot sets

An Mandelbrot set image generated with pixel density 0.001

Julia sets

A Rabbit set

$ time ./draw_sample "julia_0.001.pgm" 0.001 -0.12256116687665x0.74486176661974                                                                                          
./draw_sample "julia_0.001.pgm" 0.001 -0.12256116687665x0.74486176661974  36.86s user 0.01s system 99% cpu 36.893 total

Newton fractals

biquadratic equation z^4 - 1