Mandelbrot fractals are fascinating both for the esthetic beauty and also because they are truly infinite.
Recently a new method was developed to render Mandelbrot fractal images from a reference point rather than calculating the escape-speed for each pixel. Since lower precision then can be used, the time to render images decreases significantly.
Compared with the fastest programs using the old method, this program is more than 100 times faster on zoom levels around e100!
For details see sft_maths.pdf
My humble thanks to K.I.Martin for sharing his mathematical findings, which I think is almost as big discovery as the Mandelbrot formula itself.
My humble thanks also to Pauldelbrot for the solid glitch solving method which enables accurate render and make the new rendering method complete!
Thanks also to Dikydau for the locations in the gallery and to those that have given feedback and suggestions.
Thanks also to Botond Kósa and knighty for the extensions on Series Approximation.
Thanks also to laser blaster for the Burning Ship perturbation formula.
Thanks also to stardust4ever for formulas on other fractals (Cubic Burning Ship, Buffalo, Cubic Buffalo and Celtic)
For feedback and discussions, please visit the forum
Take a look at this tutorial if you want to make a zoom movie
Old versions of can be found here