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  • 00:25
     
    #Benoit B Mandelbrot is the father of fractal geometry    #Math Joke   
    Benoit B Mandelbrot is the father of fractal geometry. -- Math Joke: What does the B in Benoit B Mandelbrot stand for? Benoit B Mandelbrot&65279&59;
  • 06:00
     
    #fractal dimensionality   
    In actuality, fractal dimensionality is generally what we mean by the term dimensional.
  • 15:10
     
    #Fractals are shapes whose dimension is not an integer   
    Fractals are shapes whose dimension is not an integer.
  • 19:21
     
    #separate man made from computer generated   
    Fractals can be used to separate man made from computer generated. If something can be defined by fractal dimensionality, it is generally from nature. Otherwise, it is man made.

Fractal Dimension Mandelbrot Explained

What fractal dimension is, and how this is the core concept defining what fractals themselves are. Check out Affirm careers here: https://affirmjobs.3b1b.co Patreon page: https://www.patreon.com/3blue1brown (A few people have mentioned the affirm link doesn't work for them. You can also apply through a link like this: https://jobs.lever.co/affirm/8eb4a65b-df81-4a31-a0e2-da4aafedfa6d?lever-origin=agency&lever-source%5B%5D=3blue1brown . If you add those same query parameters to whatever particular application url you ultimately use, it has the same effect.) One technical note: It's possible to have fractals with an integer dimension. The example to have in mind is some *very* rough curve, which just so happens to achieve roughness level exactly 2. Slightly rough might be around 1.1-dimension; quite rough could be 1.5; but a very rough curve could get up to 2.0 (or more). A classic example of this is the boundary of the Mandelbrot set. Th






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