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Posted in memoriam of Benoit Mandelbrot: a beautiful deep zoom of the Set he discovered.

Zoom sequence: biggest spike minibrot -> triple seahorse valley -> seahorse -> spiral -> filament -> seahorse Julia jewel -> minibrot at center -> spike -> zoom quite a while at tip of spike (there are alternating bands of seahorse-stuff and nearly empty space with a few filaments wrapping it like dwell bands) -> zoom into a seahorse-stuff band just off tip -> filament -> seahorse Julia jewel -> linear Julia jewel at center -> minibrot at center -> zoom into seahorse-stuff some ways to the side of the minibrot, near its backside but off the symmetry line by a ways -> Julia jewel sequence -> zooming at center leads eventually to this.

I started this one before inventing the wave-summing coloring trick, so it uses two layers, one for a high frequency brightness modulation to bring out all the tiny filaments and one for the color gradient. The presence of a second layer, combined with aggressive antialiasing, made this a very long calculation.

Freely redistributable and usable subject to the Creative Commons Attribution license, version 3.0.

Detailed statistics:
Name: Telophase
Date: October 18, 2010
Fractal: Mandelbrot
Location: -1.7587097313612562579289654495224745663896627168978415525651138452064 + 0.0119804087363038853191420248034487547517189370313592689831519033853325i
Depth: Very deep (61 decimals)
Min Iterations: 40926
Max Iterations: 76156
Layers: 2
Anti-aliasing: 3x3, threshold 0.10, depth 2
Preparation time: several hours at least
Calculation time: 4 months (2.5GHz dual-core E5200)

Well, that went over like a lead balloon.

Hmm.

Back to Mandelboxing?

Are you nuts? :D

Is it possible to show the two layers separately for the purists?

I like deep zooms.

The two layers are really just two superposed gradients on the same data (iterations); the exact same image could be achieved using a single more-complex gradient over iterations.

Anyway, thanks.

Don't be discouraged so easily! In your deep Mandelbrot zooms I keep seeing structures that I never knew were there. I have done my fair share of deep zooming as well, but I keep ending up in places I already knew. Your images, in contrast, are always fresh.

Thanks. I've got something else big potentially in the works but, of course, it may be some time before it's done.