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More from ~stardust4ever

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July 31, 2009
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:iconstardust4ever:
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:
[link]

Youtube Version:
[link]

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...
[link]

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"):
[link]

======================================
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]
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:iconcalligurl63:
Mood: Wow! !Calligurl63 Mar 3, 2012  Hobbyist General Artist
Wow that's so cool! I saw it on fractalforums.com and thought "whoa this is really mind-blowing"

--
Reality is an illusion, albeit a persistent one- Albert Einstein
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:iconstardust4ever:
Mood: Love ~stardust4ever Mar 8, 2012
Thanks so much. I think you would also like my "Magnum Opus Ex" post as well - it's 3132 zooms deep!

--
(\_/) This is Bunny. Somebody told me if
(O.o) I copied this, it would bring me world
(")(") domination. I've yet to find any...
Anyways, long live "Bunny."
,___,
[¬.¬] I am Owl. Bunnies taste good!
/)__) Eat the Great Bunny for
-"--"- Universe Domiation!
Reply
:icondinkydauset:
~DinkydauSet Feb 14, 2012  Hobbyist Digital Artist
Awesome

--
Dinkydau-Set on YouTube: [link]
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:iconyume-jam:
~Yume-Jam Nov 25, 2010
Is it called Metaphase because of the X patterns being aranged in a X pattern?

--
私・俺
天・空
愛・夢
無・限
混・沌
音・楽
僕・我
( ∞ )
⁀‿⁀
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:iconstardust4ever:
~stardust4ever Dec 24, 2010
I'm not sure, really. The X formations resemble X chromosomes, and the original Metaphase video showcased what looked like a cell with two X chromosomes in it. It inspired me such that I began to probe those type formations at much deeper zoom depths; "XX Reactor Core" one of those among the fruits of my fractal zooming endeavors.

--
(\_/) This is Bunny. Somebody told me if
(O.o) I copied this, it would bring me world
(")(") domination. I've yet to find any...
Anyways, long live "Bunny."
,___,
[¬.¬] I am Owl. Bunnies taste good!
/)__) Eat the Great Bunny for
-"--"- Universe Domiation!
Reply
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