Iterated functions: The Mandelbrot Set

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I have always enjoyed this aspect of mathematics. These videos will make you familiar with the concept of the Mandelbrot Set, which is an example of a fractal, and is related to the Julia Set. Fractals are also exemplified in nature, in trees, leaves, snowflakes, water droplets, and so forth.


I hope you enjoy the following videos and please feel free to discuss them... Two videos are from the University of Nottingham in Great Britain.


I have no doubt that in reality the future will be vastly more surprising than anything I can imagine. Now my own suspicion is that the Universe is not only queerer than we suppose, but queerer than we can suppose.

- J. B. S. Haldane


https://www.youtube.com/watch?v=56gzV0od6DU


https://www.youtube.com/watch?v=9gk_8mQuerg&vl=en


https://www.youtube.com/watch?v=NGMRB4O922I


https://www.youtube.com/watch?v=FFftmWSzgmk


https://www.youtube.com/watch?v=6IWXkV82oyY


https://www.youtube.com/watch?v=PD2XgQOyCCk




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