Marcus du Sautoy TV - Hunting the Hidden Dimension TV - Michael F Barnsley - Benoit Mandelbrot -
11,002. The fractal quality of his work appeals to us because despite seeming abstract it actually mirrors the reality of the world around us. (Art & Fractal) Professor Marcus du Sautoy, The Code II: Shapes
73,562. You can find it in the rain forest. On the frontiers of medical research. In the movies. And it’s all over the world of wireless communications. One of Nature’s biggest design secrets has finally been revealed. It’s an odd looking shape you may never have heard of but it’s everywhere around you – the jagged repeating form called a fractal. (Fractal & Nature & Mathematics) Hunting the Hidden Dimension, Discovery Science 2013
73,563. It takes endless repetition ... self-similarity. (Fractal & Nature & Mathematics) ibid
73,564. Mandelbrot replied to his critics with his new book: The Fractal Geometry of Nature. (Fractal & Nature & Mathematics) ibid.
73,565. Fractal antennas are used in tens of millions of cellphones. (Fractal & Nature & Mathematics & Mobile Phone) ibid.
73,566. A healthy heartbeat has a distinctive fractal pattern. (Fractal & Nature & Mathematics & Heart) ibid.
73,567. Fractal geometry will make you see everything differently. There is a danger in reading further. You risk the loss of your childhood vision of clouds, forests, flowers, galaxies, leaves, feathers, rocks, mountains, torrents of water, carpet, bricks, and much else besides. Never again will your interpretation of these things be quite the same. (Geometry & Fractal) Michael F Barnsley, Fractals Everywhere 2000
73,568. I conceived and developed a new geometry of nature and implemented its use in a number of diverse fields. It describes many of the irregular and fragmented patterns around us, and leads to full-fledged theories, by identifying a family of shapes I call fractals. (Geometry & Fractal) Benoit Mandelbrot, cited The Fractal Geometry of Nature 1977 introduction
74,716. I claim that many patterns of Nature are so irregular and fragmented, that, compared with Euclid – a term used in this work to denote all of standard geometry – Nature exhibits not simply a higher degree but an altogether different level of complexity ... The existence of these patterns challenges us to study these forms that Euclid leaves aside as being formless, to investigate the morphology of the amorphous. (Geometry & Fractal) ibid. 91:9