“Sufficient unto themselves.”
Capricorn 28° A large aviary ~ COMMUNITY
“Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.” —Mandelbrot, in his introduction to The Fractal Geometry of Nature
Defies easy understanding
Today’s septenary speaks of things that are difficult, but not impossible to measure—things that don’t defer to our normal methods of understanding or measuring them. Perhaps you have experienced this in astrology—some unlikely relationship that works well but defies the charts of the two involved. The synastry just isn’t there. Something else is, you just haven’t looked deeply enough. Today’s septenary is for just such occasion!
Benoit B. Mandelbrot (20 November 1924 – 14 October 2010) was a Polish-born, French and American mathematician, noted for developing a “theory of roughness” and “self-similarity” in nature and the field of fractal geometry to help prove it, which included coining the word “fractal”. He later discovered the Mandelbrot set of intricate, never-ending fractal shapes, named in his honor.
Mandelbrot has been called a visionary and a maverick. His informal and passionate style of writing and his emphasis on visual and geometric intuition (supported by the inclusion of numerous illustrations) made The Fractal Geometry of Nature accessible to non-specialists. The book sparked widespread popular interest in fractals and contributed to chaos theory and other fields of science and mathematics.
The Theory of Roughness
Mandelbrot emphasized the use of fractals as realistic and useful models for describing many “rough” phenomena in the real world. He concluded that “real roughness is often fractal and can be measured.”
“Exploring this set I certainly never had the feeling of invention. I never had the feeling that my imagination was rich enough to invent all those extraordinary things on discovering them. They were there, even though nobody had seen them before. It’s marvelous, a very simple formula explains all these very complicated things. So the goal of science is starting with a mess, and explaining it with a simple formula, a kind of dream of science.” Benoit Mandelbrot
In memory of Benoit Mandelbrot (Mandelbrot Set zoom, planetarium proposal) http://www.youtube.com/watch?v=KLamH6Dl90w
“Sufficient unto themselves.” Saijin
Image source: A Mandelbrot Set by Georg-Johann Lay – Own work, Computergraphical study of the critical point 0 of some polynomials under Newton’s method in the complex –plane. I, the copyright holder of this work, release this work into the public domain. This applies worldwide. http://en.wikipedia.org/wiki/Benoit_Mandelbrot