Title: inigo quilez - the main bulb of the Mandelbrot set (analytical) Post by: cKleinhuis on April 28, 2016, 09:51:28 AM inigo has written a nice article about the inner region of the mandelbrot of depth 1 and 2 iterations, http://iquilezles.org/www/articles/mset_1bulb/mset1bulb.htm shadertoy https://www.shadertoy.com/view/4sdXWX Title: Re: inigo quilez - the main bulb of the Mandelbrot set (analytical) Post by: claude on April 28, 2016, 01:53:54 PM nice! Here's the complicated result for period 3, mentioned in the article:
http://www.ams.org/journals/proc/1995-123-12/S0002-9939-1995-1301497-3/S0002-9939-1995-1301497-3.pdf Title: Re: inigo quilez - the main bulb of the Mandelbrot set (analytical) Post by: eiffie on April 30, 2016, 03:19:04 AM Seems to work with mandelbulbs as well. You can use the Qk formula for a bounding radius and the Rk for darkening the interior folds. |