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 o...
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.
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Why a connection between specifically the mandelbrot set and the way nature operates?
The mandelbrot set is only one way to achieve a fractal design of infinite complexity with infinitely diverging shapes and all their possible combinations. There are also uncountable other ways to make fractals which have the same qualities.
Nature may use more then just mandelbrot, or may use entirely different fractal processes.
They are right about fractals being used for commercial purposes. I'd say most of you have fractals in their pockets - cellphone antennae are fractals, allowing a single antenna to be used for GSM, Wi-Fi, Bluetooth, etc.
Why are we assuming that when we zoom in on a set, that we are seeing smaller and smaller sets? Could we not be just looking farther and farther away?
It's a mathematically steered visual - it doesn't actually have size or distance. But this is also true of the perceived world - the mind creates objects, but direct experience is fundamentally boundless.
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The mandelbrot set is only one way to achieve a fractal design of infinite complexity with infinitely diverging shapes and all their possible combinations. There are also uncountable other ways to make fractals which have the same qualities.
Nature may use more then just mandelbrot, or may use entirely different fractal processes.
1) What is your source for this information?
2) What is that source's agenda?
3) Do you subscribe to that kind of conspiratorial thinking often?