The Mandelbrot Set
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It took about 5 weeks to render this video in full HD (60fps) using my own software. I wish I could zoom in much deeper, but It would take ages to render. =/
I used smooth and logarithmic colouring. The colour scheme was inspired by Ultrafractal's default gradient. I chose this point to zoom into: http://en.wikipedia.org/wiki/File:Mandel_zoom_14_satellite_julia_island.jpg
x = -0.743643887037151
y = 0.131825904205330
I used smooth and logarithmic colouring. The colour scheme was inspired by Ultrafractal's default gradient. I chose this point to zoom into: http://en.wikipedia.org/wiki/File:Mandel_zoom_14_satellite_julia_island.jpg
x = -0.743643887037151
y = 0.131825904205330
Mar 8, 2010 2:48 AM
Re: The Mandelbrot Set
I used to have a program, Fractal Madness or some such, that let you zoom in and out of fractals at an impressive pace. Such a geek was I that I lost hours zooming in and out of different parts of different fractals. Strangely, I felt like an explorer who was finding new lands because I knew that at any given moment I was seeing a fractal formation that no one has ever seen rendered before. So cool. Well, nerd cool.
Re: The Mandelbrot Set
It's very cool, and I liked the implications of the Secrets of Chaos link a few weeks ago where it described how we are all part of a unique, yet repeated fractal system upon which we can zoom out or zoom in to see us for all our beautiful (and, in some cases, ugly) complexity.
http://mcooki.es/189303
http://mcooki.es/189303
Re: The Mandelbrot Set
What you talkin' 'bout, Willis?
I think you're being a little whimsical here. What fractal are you talking about here, and how are humans a part of that fractal? Are we constituted of smaller humans, and do we in turn constitute larger humans?
The cool and frankly mysterious thing about the Mandelbrot set and many other fractals is how incredibly simple they are to generate. The 3 short equations at the end of the video generate the entire Mandelbrot set.
I heard Benoit Mandelbrot speak once, and though he might be extraordinarily brilliant, he certainly is not much of a public speaker :p
I think you're being a little whimsical here. What fractal are you talking about here, and how are humans a part of that fractal? Are we constituted of smaller humans, and do we in turn constitute larger humans?
The cool and frankly mysterious thing about the Mandelbrot set and many other fractals is how incredibly simple they are to generate. The 3 short equations at the end of the video generate the entire Mandelbrot set.
I heard Benoit Mandelbrot speak once, and though he might be extraordinarily brilliant, he certainly is not much of a public speaker :p
By: Deh_Dude
Re: The Mandelbrot Set
Me? Whimsical? Never. ;)
In this case, I was being a bit serious, though. You just have to insert the fourth dimension of time to see the human fractal we call generations. We, which includes all plants, animals, and fungi, are all repeating patterns that, assuming we don't kill the process early, will go on forever.
To look at another fractal, look at general knowledge. It grows and grows in complexity, but, save some chance discoveries, most knowledge builds upon itself through analogies. Same for culture. Same for religion. Same for TV programming. Beautifully and not-so-beautifully repeated patterns are everywhere. I'm sure you can think of lots more. That's all I was gettin' at - an abstract notion about life and how it relates to the vid.
Speaking of infinitely repeated patterns, that's kinda the direction I'd expect his public speaking to go - thanks for confirming that hypothesis for me. :)
In this case, I was being a bit serious, though. You just have to insert the fourth dimension of time to see the human fractal we call generations. We, which includes all plants, animals, and fungi, are all repeating patterns that, assuming we don't kill the process early, will go on forever.
To look at another fractal, look at general knowledge. It grows and grows in complexity, but, save some chance discoveries, most knowledge builds upon itself through analogies. Same for culture. Same for religion. Same for TV programming. Beautifully and not-so-beautifully repeated patterns are everywhere. I'm sure you can think of lots more. That's all I was gettin' at - an abstract notion about life and how it relates to the vid.
Speaking of infinitely repeated patterns, that's kinda the direction I'd expect his public speaking to go - thanks for confirming that hypothesis for me. :)
Re: The Mandelbrot Set
You have to zoom out to see the gigantic Krishna of which our entire universe is but a tiny speck. Also, if you look deeply into your heart (do look!) you'll find Krishna there as well. In this sense, we are indeed fractal.
By: cthomas
Re: The Mandelbrot Set
Speaking of fractals... I read an article a couple of months ago in New Scientist about the possibility of modeling weather and climate very accurately using fractals. The idea is in the hypothesis stage but from what I understood from the article was that weather/climate is not as random as we perceive.
By: Crabjuice
Re: The Mandelbrot Set
I'm trying to get in touch with the creator of the video to find out. I'll let you know, or maybe someone out there with the Apple app that identifies songs can tell us.
Re: The Mandelbrot Set
Got a reply from the creator at YouTube:
Music is "Clearing A" by Andrew Mendelson. You can download the mp3 for free here:
http://www.freeplaymusic.com/search/category_search.php?t=v&i=35
Music is "Clearing A" by Andrew Mendelson. You can download the mp3 for free here:
http://www.freeplaymusic.com/search/category_search.php?t=v&i=35
