Orbit Compasses 3

[element90]

Orbit Compasses 3



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.

[cKleinhuis]

[Pauldelbrot]

It's a perturbed Buddhabrot. (Orbits start some specific point other than 0.)

[cKleinhuis]

ah, its a buddhabrot, nice contrasting colors!

[element90]

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:

[element90]

I meant to say no random points are used.