Title: Third degree polynomial fractals Post by: stigomaster on September 06, 2009, 10:24:19 PM Today I read some interesting articles by Ingvar Kullberg, who I know has been active on this forum before, about chaotic systems. When he introduced third degree polynomials, I decided to explore a little. Based on the formula z -> a * z^3 + b * z^2 + c * z + seed, I quickly made a formula in ChaosPro, and rendered this movie. Changing only a, b and c, much interesting happened:
http://www.youtube.com/watch?v=9mTSdAtlhRY (http://www.youtube.com/watch?v=9mTSdAtlhRY) I was hoping that anyone else had explored this further, and wondering what he has come up with. Title: Re: Third degree polynomial fractals Post by: gary.wilson on September 25, 2009, 08:45:20 AM nice video dude
i am new on fractal i want to do like this. can you give me some tips or tutorials to do like this Title: Re: Third degree polynomial fractals Post by: stigomaster on September 27, 2009, 11:15:36 PM The first thing you should want to do is of course to download some software, like ChaosPro or Ultra Fractal. Then you might find interesting tutorials on the net or just play around. You're bound to find something fascinating anyhow, after all we're dealing with fractals here.
http://www.chaospro.de/ (http://www.chaospro.de/) http://www.ultrafractal.com/ (http://www.ultrafractal.com/) Title: Re: Third degree polynomial fractals Post by: kram1032 on November 16, 2009, 10:24:24 PM Hey, nice stuff :) Finally someone who uses different polynoma sets... Look here: http://kram1032.deviantart.com/gallery/#Fractals--3 I used Melinda Green's buddhabrot technique to render a variety of formula sets. Later (on the 1st and 2nd page), you'll also see some asymmetric ones, which are randomly valued mandelbrots from the general 5th degree polynome aZ^5+bZ^4+cZł+dZ˛+eZ+fC with a b c d e f being complex :) |