MetaFilter posts tagged with fractal and math

I am a strange loop.

loquacious — Sat, 30 May 2009 21:30:41 -0800

Douglas Hofstadter's Gödel, Escher, Bach: An Eternal Golden Braid has been recorded as a series of video lectures for MIT's Open Courseware project.

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.

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.

In Soviet Russia, sponge soaks you

Blazecock Pileon — Fri, 02 Feb 2007 12:37:35 -0800

Dr. Jeannine Mosely finishes building a level-3 Menger sponge from business cards. You can also build your own, though Dr. Mosely warns, "[a] level 4 sponge would require almost a million cards and weigh over a ton. I do not believe it could support its own weight — so a level 3 is the biggest sponge we can hope to build." (related)

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.