## Mandelbrot with a (lack of) Twist

I occasionally waste a bit of my time hunting for surprises deep in the
Mandelbrot set. To that end I wrote a simplistic program that enables unlimited
zooming with arbitrary precision arithmetic.
Would you have guessed that there are strangely smooth curves and 90 degree
angles very deep down there?

These stars really are a meta shape; i.e. they arise not so much naturally
from the fractal's formula, but can be found almost everywhere if you zoom deep
enough and do so very selectively. Around 500 bits of precision were needed for
the examples above, and roughly a week of processor time each for the large,
anti-aliased versions. Multicore machines to the rescue! :-)

The colours have not been chosen for artistic value, but mostly for
(de-)emphasis of certain structures in the image. To that end, each of the
three images is misleading in one way or another. The star shapes are not
always as prominent as they appear here.