Benoit Mandelbrot: Fractals and the art of roughness

www.ted.com At TED2010, mathematics legend Benoit Mandelbrot develops a theme he first discussed at TED in 1984 — the extreme complexity of roughness, and the way that fractal math can find order within patterns that seem unknowably complicated.TEDTalks is a daily video podcast of the best talks and performances from the TED Conference, where the world’s leading thinkers and doers give the talk of their lives in 18 minutes. Featured speakers have included Al Gore on climate change, Philippe Starck on design, Jill Bolte Taylor on observing her own stroke, Nicholas Negroponte on One Laptop per Child, Jane Goodall on chimpanzees, Bill Gates on malaria and mosquitoes, Pattie Maes on the “Sixth Sense” wearable tech, and “Lost” producer JJ Abrams on the allure of mystery. TED stands for Technology, Entertainment, Design, and TEDTalks cover these topics as well as science, business, development and the arts. Closed captions and translated subtitles in a variety of languages are now available on TED.com, at http Watch a highlight reel of the Top 10 TEDTalks at www.ted.com

PBS Nova – Fractals – Hunting the Hidden Dimension.avi

Mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature. A fractal is “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,” a property called self-similarity. Fractals: they’re famously found in nature and artists have created some incredible renderings as well. Fractals are purely a wonder — too irregular for Euclidean geometry; iterative and recursive and seemingly infinite. They turn up in food and germs, plants and animals, mountains and water and sky.

Arthur Clarke – Fractals – The Colors Of Infinity 1 of 6

Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics. ——————————————————- Springer Science + Business Media, LLC www.springer.com