Title: Orbit Compasses 3 Post by: element90 on February 05, 2012, 09:13:44 PM Orbit Compasses 3
(http://nocache-nocookies.digitalgott.com/gallery/10/5522_05_02_12_6_00_45.jpeg) http://www.fractalforums.com/index.php?action=gallery;sa=view;id=10221 The orbits of a Compasses plotted and coloured based on the number of times an orbit visits a location. A non-zero fixed location is used as a starting point for all the orbits. Title: Re: Orbit Compasses 3 Post by: cKleinhuis on February 05, 2012, 09:29:48 PM ???
Title: Re: Orbit Compasses 3 Post by: Pauldelbrot on February 05, 2012, 09:58:00 PM It's a perturbed Buddhabrot. (Orbits start some specific point other than 0.)
Title: Re: Orbit Compasses 3 Post by: cKleinhuis on February 06, 2012, 01:34:40 AM ah, its a buddhabrot, nice contrasting colors!
Title: Re: Orbit Compasses 3 Post by: element90 on February 06, 2012, 01:02:30 PM This is produces by simply plotting the the orbit and colouring based on the number of times a point is visited by an orbit. This the same technique used for Pickover Popcorn.
I looked at how Buddhabrots are constructed, this method is different as random points are used, the Mandelbrot algorithm is used and for each location the entire orbit (up to bailout or maximum) is plotted. The results are closer to the Anti-Buddhabrot, the Mandelbrot results in this picture: (http://ubuntuone.com/7bBo49Va9xTDoLQed2zHkm) Title: Re: Orbit Compasses 3 Post by: element90 on February 06, 2012, 01:03:58 PM I meant to say no random points are used. |