MetaFilter posts tagged with mandelbrot

Pre-fractal art

Leisure_Muffin — Tue, 10 May 2011 22:53:25 -0800

Fractals may have become a cliche in modern computer graphics, but they have a long and rich history in art.

Before anybody even knew Mandelbrot, artists were seeing fractals in nature and transferred the patterns in painting, design and sculpture. Fractals, as you may know, are geometric patterns that are repeated on smaller and smaller scales to produce intricate designs, through self-similarity, described by the Mandelbrot Equation.

Infinite diversity in infinite combinations

Bora Horza Gobuchul — Fri, 25 Mar 2011 08:20:28 -0800

Since they were first discovered just a few years ago Mandelbulbs (a remapping of the 2D Mandelbrot set into 3D space) have grown in diversity, becoming more exotic, ornate, and animated. They’ve even inspired their own fanbase and usergroups. Some Mandelbulb explorations have the feel of epic science fiction - appropriate, since Mandelbulbs were first proposed by SF writer and mathematician Rudy Rucker 20 years ago, Visually, the work of Rena Jones and Jock Cooper also deserve notice, even if they use hybrid fractals, much like the Menger Sphere Sponge by Tom Beddard. More traditional artists using Mandelbulbs (sometimes referred to as “fractalists”) include Tom Wilcox and James Knowles. If you’d like to start making your own Mandelbulbs, there are a variety of tools. Tom Beddard has the (previously mentioned) browser-driven FractalLab, as well as a Mandelbulb Ray Tracer (and a fun Escher Droste Effect filter) for PhotoShop’s Pixel Bender plugin. There’s also Fragmentarium and the related StructureSynth, along with Mandelbulb3D, Mandelbulber, XenoDream and Visions of Chaos. “Deep zooms” of traditional Mandelbrot sets give you an idea where all this diversity comes from. While not exactly fractal, I thought Taras Hrabowsky’s ThingPit was also worth watching, if you like collapse-of-the-universe animation. Mandelbulbs previously on the blue, along with StructureSynth and Benoit Mandelbrot.

z^2 + c

Jpfed — Fri, 15 Oct 2010 21:51:12 -0800

Nassim Nicholas Taleb states on his website and Facebook account that his occasional collaborator (and fractal pioneer/popularizer) Benoit Mandelbrot has died.

My fractal in a box

Burhanistan — Thu, 07 Oct 2010 10:26:22 -0800

Take a trip through the Mandelbox. (You may wish to hit mute and provide your own sound.) Make your own with Mandelbulber. Much more from xlace.

You may think it's a long way down the road to the chemist's, but that's just peanuts to the Mandelbrot

fearfulsymmetry — Fri, 03 Sep 2010 15:42:50 -0800

Last Lights On - a zoom down into the Mandelbrot set to 6.066 e228 (2^760) Longer Vimeo and downloadable version here. Mandelbrot set tutorial.

the universe: a self-similar hierarchy of intelligent neural networks

cytherea — Fri, 16 Apr 2010 16:53:35 -0800

Winiwarter's laws of genesis

3d mandelbrot

dhruva — Thu, 12 Nov 2009 10:06:10 -0800

The Mandelbulb "The original Mandelbrot is an amazing object that has captured the public's imagination for 30 years. It's found by following a relatively simple math formula. But in the end, it's still only 2D and flat - there's no depth, shadows, perspective, or light sourcing. What we have featured in this article is a potential 3D version of the same fractal."

Quest for a true 3D Mandelbrot Fractal.

loquacious — Sun, 14 Sep 2008 00:58:17 -0800

Quest for a true 3D Mandelbrot Fractal - a very nice exploration of Mandelbrot/Julia set fractals in various kinds of 3D space.

Seeing in four dimensions

Surfin' Bird — Sun, 24 Aug 2008 02:56:53 -0800

Mathematicians create videos that help in visualizing four-dimensional objects. Science News writes about it: seeing in four dimensions.

Psychemathadelica!

not_on_display — Tue, 29 Jul 2008 15:56:40 -0800

How deep does the rabbit hole go? The Ultimate Fractal Video Project features animated zooms into the famous Mandelbrot Set. Some zoom in so far that, by the end of the dive, the first frame you had viewed would be as large as (or larger than) the known universe. | The animations are offered as .zip'd WMV files; lower-quality versions are viewable on FractAlkemist's YouTube page. The author explains: "The 'Universe' viddies are so named because at a zoom depth of E+26, the original Mandelbrot is expanded to approximately the size of the known observable universe, 10-20 billion lightyears. And E+61 is the ratio of the entire visible universe to the smallest sub-atomic quantum effects. So where does E+89 take you? To the Mother of All Mandelbrot ZooM animations! "This one took 8 months to render on 3 systems, all running 24/7. This is the Deepest Mandelbrot ZooM Animation ever made, and ever likely to be made (without frame interpolation, shortcuts, tricks or cheating). It goes all the way to a final zoom depth of E+89, and uses maximum iterations (2,100,000,000) all the way for maximum detail." - - - - - Recommended uses: download a few, put them in a queue on your media player, and let them play on repeat at your next box social. - - - - - This FPP by loquacious points to another cool fractal animation site. - - - - - Bonus: two more cool fractal animations: one with Jonathan Coulton's song "Mandelbrot Set" as the soundtrack, the other with a more baroque flavor. - - - - - There are many more examples of fractal animation out there; please add your favorite links in the comments section.

The Black Swan is episte-riffic!

geoff. — Mon, 30 Apr 2007 12:50:14 -0800

The Black Swan: The Impact of the Highly Improbable by Nassim Taleb is out. Reviews in the Wall Street Journal, LA Times, and Financial Times. Just in time with those of us with a love of Hume's problem of induction, non-Gaussian distributions and financial intellectualism. Read an early draft of chapter 16, The Bell Curve, That Great Intellectual Fraud. Read Taleb's "philisophical and literary notebook." Then, in a feat of metanarrative rarely seen outside of Metatalk, read his comments on comments on the book. Previously on Metafilter: Languagehat has already made his thoughts on Taleb known, it wasn't pretty, and someone with "vested interests in Taleb" responded. Taleb, refreshingly, does not shy away from debates about his work.

BIG, little.

the Real Dan — Mon, 02 Apr 2007 13:27:02 -0800

A Mandelbrot zoom that is much larger than our known universe.
Previously mentioned here, but it deserves its own mention. Via.

Mandelbrot on Fractals as A Theory of Roughness.

MetaMonkey — Sun, 03 Dec 2006 00:32:37 -0800

A talk with Benoît Mandelbrot, entitled Fractals in Science, Engineering and Finance (Roughness and Beauty) [video, 80mins, realplayer] about fractals as A Theory of Roughness.

Biggest breakthroughs of the next 50 years

jeffmshaw — Sun, 19 Nov 2006 16:52:24 -0800

What will be the biggest scientific breakthroughs of the next 50 years? As part of their 50th anniversary celebration, the New Scientist asked 70 prominent minds for ideas on the subject. You can read the thoughts of scientists like Freeman Dyson, Benoit Mandelbrot and Jane Goodall individually, or browse by topic. For example, eight thinkers have something to say about alien life. The links to browse by topic can be found at the beginning of the main link. Also, compare with this thread about similar predictions from 1950.

Let's get stoned and explore bounded equations

longsleeves — Tue, 24 May 2005 17:16:05 -0800

Mandelbrot explorer 20th century Dutch mathemeticians are cool. http://www.ddewey.net/mandelbrot/

Buddhabrot

homunculus — Wed, 04 Feb 2004 18:07:16 -0800

The Buddhabrot Set is a re-visualization of the Mandelbrot Set, created with a rendering technique invented by Melinda Green, who further extended it to create the Buddhagram. [Via MonkeyFilter.]