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XX Reactor Core - Deep Zoom



I happened to be doing some methodological zooming on the Mandelbrot set. I had been especially intrigued by a video entitled "Metaphase" on HPDZ.net:

Youtube Version:

By following his technique, which starts out with a single cross formation and later becomes two and finally four crosses lined up in a row (the now famous "metaphase" image looks like chromosomes), I extended the process to 8, 16, and finally 32 little Xs! Every time I reiterate the process, I have to zoom many levels through the single, double, quad, and so on. After I had 32 Xs lined up in a little row, the two on either edge were so tiny they could barely be seen. I then zoom in through the center rather than go through another painful iteration.

(by this point, even with my Quad-core Phenom II running at 3.6Ghz and 64 bit calcs, the iteration count was climbing and becoming numbingly slow)

I zoom in further to ultimately reveal a big "X" with each of four arms each containging sixteen Xs a piece, an X made up of Xs! I tinker around with the color mapping, save the file, and render big at 2400x2400 pixels and a whopping 782.8 zooms (magnification= 4.4*10^235) - That's smaller that one divided by a googol squared!!

Update: Jan 20th, 2010:
:film: For your viewing pleasure, I have now uploaded to YouTube, a Zoom movie that passes through this exact location, then continues onward until the minibrot at the end...

See also "Magnum Opus X" which is based off of this concept, but extended to the third degree X^3 (An "X made up of Xs made up of Xs"):

Update Dec 15th, 2011: I uploaded a newer file with a tweaked color palette. Redundant palette data has been removed, resulting in a wider color gamut and less posterization.

Dec 19: I re-rendered at 4800x4800 pixels. Scaled to 2400 for a clean antialiased look. [the full resolution 4800x4800 pixels is available for printing]

Metaphase effect in other Mandelbrot powers:

2nd Order, "XX Reactor Core"

3rd Order, "Lost Y Chromosome" [link]

4th Order, "Knobby Cross" [link]

5th Order, "Starfish" [link]

6th Order, "Hexapod" [link]
Image size
2400x2400px 6.25 MB
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