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Exploring Fractals: Zipf's Law and Fractal Concepts in the Brain

Discover the fascinating connection between Zipf's Law and fractals in the brain. Explore self-similarity, fractal art, African fractals, and the breakdown of physiological control mechanisms. Delve into the origin of fractal music and its complex dynamics in neural synchronization.

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Exploring Fractals: Zipf's Law and Fractal Concepts in the Brain

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  1. 1/f, Zipf’s law and Fractalin the brain Jaeseung Jeong, Ph.D Department of Bio and Brain Engineering, KAIST

  2. The Length of Coastline of Britain

  3. Fractal – Self-similarity

  4. Fractal As a non-fractal object is magnified, no new features are revealed. As a fractal object is magnified, ever finer features are revealed. A fractal object has features over a broad range of sizes. Self-similarity The magnified piece of an object is an exact copy of the whole object.

  5. Fractal Art

  6. Jackson Pollock (1912-1956)

  7. A Painting by Jackson Pollock A Picture of Nature Paul Klee said, "Art does not represent the visual world, it makes things visible."

  8. African Fractal

  9. Complex dynamics of heart rate variability

  10. Breakdown of a fractal physiological control mechanism can lead ultimately either to a highly periodic output dominated by a single scale or to uncorrelated randomness.

  11. Website structure

  12. Zipf’s Law George Zipf's 1949 observation that the frequency of words used in the English language followed a powerlaw distribution is a profound thing. It not only defined Zipf's Law, which gives a simple rule to explain why some words (e.g. the, of, and) are far more commonly used than others.

  13. The origin of Fractal Music

  14. What is the origin of 1/f and fractal in music?

  15. The origin of Fractal Music

  16. Fractal music (Anemonae) by Dmitry Kormann Computer-generated ‘Fractal music’ Jeong et al. (1998)

  17. Complexity of the EEG recorded from human brains during perception of white, 1/f, and brown music. White music 1/f music Brown music Jeong et al. (1998)

  18. Different Neural Synchronization during Music Perception 1/f (pink) music White music Jeong et al. (2001)

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