The Glade 4.0

Mandelbrot fractals as 3d images

I thought I'd share some really beautiful images created from the mandelbrot fractals.

Really beautiful for the artist in me, and totally cool for the math geek in me.

[youtube]gEw8xpb1aRA[/youtube]

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Memento Vivere

I have local knowledge.
That sandbar was not there yesterday!

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Well Ali Baba had them forty thieves, Scheherezade had a thousand tales
But master you in luck 'cause up your sleeves you got a brand of magic never fails...
...Mister Aladdin, sir, What will your pleasure be?
Let me take your order, Jot it down -You ain't never had a friend like me
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The first one looks like a clumped up sweater

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"None is more important, none more legitimate, than that of rendering the people safe as they are the
ultimate guardians of their own liberty."- Thomas Jefferson

"Yeah, I'm rehearsing my poker face. I don't handle stupid well. *sigh*" - Farsky

Neat, SG. Coulton continues to be cool, apparently.

Although, I have to admit, that nothing mesmerizes me with self-similarity quite like the Sierpinski Triangle.

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"Aaaah! Emotions are weird!" - Amdee
"... Mirrorshades prevent the forces of normalcy from realizing that one is crazed and possibly dangerous. They are the symbol of the sun-staring visionary, the biker, the rocker, the policeman, and similar outlaws." - Bruce Sterling, preface to Mirrorshades

Man, the Sierpinski Triangle is a thing? I independently developed that doodling in my notebook probably back in junior high! I am big on the geometric doodling. :p

As to these 3d fractals, I am half-tempted to visit the websites for these fractal communities. I'm afraid the math would hurt me, though.

I also wonder if the color is part of the math. I'm guessing no, at the moment, but the idea intrigues me.

Hummm, I see a good field to pick my next wall paper from.

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Raell Kromwell

The color is arbitrarily assigned to the value of the function at a given coordinate. Typically, you create a spectrum and assign each color to a value range.

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"Aaaah! Emotions are weird!" - Amdee
"... Mirrorshades prevent the forces of normalcy from realizing that one is crazed and possibly dangerous. They are the symbol of the sun-staring visionary, the biker, the rocker, the policeman, and similar outlaws." - Bruce Sterling, preface to Mirrorshades

Math hurts.

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It feels like all the people who want limited government really just want government limited to Republicans.
---The Daily Show