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http://www.vimeo.com/16951136 (http://www.vimeo.com/16951136)

I've made a Mandelbrot set zoom. I hope you like it. It was rendered on an i7 iMac in just under 4 hours. It was created with my own software, using perturbation theory approximations to speed up the calculations.

beautiful! what is the coloring method, and how did you arrive at this palette? It does not look like other renders of the Mandelbrot set, there is an interesting mix of sharp edges to the dwell bands, feathered textures, and washed-out parts like colored ink has been soaked up according to a smooth gradient... I like how it passes close to several orders of minibrot. Around 45 seconds in the valley of the mini-mini-brot is where it first gets seriously impressive. 2'45" to 2'55" is amazing! congratulations.

It's always a challenge when zooming in on what I call the cells.
Inside the cell is great detail and the iterations bands shift fast.
Outside the cells the iteration bands change much much slower.
I think your using a colour palette technique similar to the FastFractal256 CUDA program.
This is where you vary the rates at with the Red Green and Blue colour sine waves repeat.
If you go for subtler transitions between iteration bands the 'deserts' where not much is happening will still evolve in colour.
But you'l then be able to make out the structure inside the cells (or oasis?).

The palette was made from random runs of colors, with each run increasing in brightness. It repeats after about 20000. However I'm a programmer, not an artist, so I don't mess with the palette very much  :)

I'm a programmer too, so I mess with palettes using spreadsheets.
Using various sorts I can group together 'like' colours most usually by the top bits.
eg given a sequence of black, blue, cyan, green, white, magenta, red, yellow corresponds to top (RGB) bits of 000,001,011,010,111,101,100,110.
And then similar or different seqence of the 7th bits, 6th bits and so on.
Even from a random sequence of values will give some variation between adjacent iteration bands whilst giving a larger overall sequence.

They say a picture is worth 1000 words.
(http://nocache-nocookies.digitalgott.com/gallery/4/3331_12_12_10_5_51_29.jpeg)

The palette starts with 'black' colours where the top RGB bits are all 0 in the top right then progresses thru top bits being yellow, red, magenta, white, green, cyan and finally blue.
Heres the Fractal Extreme Palette editor shots.

Cool, you were asking about colors and missed the big thing going already 3 years ago... :)