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Mandelbrot Set Zoom

M. Eric Carr M. Eric Carr·26 videos
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Uploaded on Aug 12, 2006

A zoom into the Mandelbrot Set, from 1:1 scale to a 6th-level mini-set. Set to Jonathan Coulton's "Mandelbrot Set" (used under the Creative Commons license; share and enjoy!)
Explanation of the Mandelbrot Set available at http://www.intellectualism.org ; click on Mathematics, then on "The Mandelbrot Set."

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Uploader Comments (M. Eric Carr)

  • mandatorymayhem1

    Did this take a long time to render? I made a single high-resolution image in MATLAB and it took about 80 s to calculate, I can't imagine what you would need for this many frames. My code could certainly use some optimization though.

    · 3

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  • M. Eric Carr

    As I recall, this took about a week to render, about six years ago (which explains the low resolution.) I'm not sure how optimized for speed something like Matlab is.

    · 5

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    in reply to mandatorymayhem1 (Show the comment)
  • HarboeDrinker

    Saw one of these yesterday, thought I've never understand anything of it.. Well, the last 24 hours have been quite a journey. Julia sets, Mandelbrot sets, fractals, imaginary numbers, complex numbers and so on. Feel like I've learned more in 24 hours on my own, than in 2 weeks at my highschool.

    · 9

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  • M. Eric Carr

    Fractals are definitely fun. Apparently you can do similar things in 3D if you use quaternions. They're 4-part hypercomplex numbers. Where real numbers are just a number and complex numbers are a+bi (with i being the square root of -1), quaternions take the form of a+bi+cj+dk, where i^2 = j^2 = k^2 = ijk = -1. The really weird thing is that they're not commutative: i*j = k, but j*i = -k. The one constant that I've found is that the deeper you go, the weirder -- but more interesting -- math gets!

    · 4

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    in reply to HarboeDrinker (Show the comment)

Top Comments

  • miyuoshibonni

    Our geometry teacher played this in class.... He hadn't bothered to listen to the whole song. The look of horror on his face was priceless.

    · 25

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Video Responses


All Comments (664)

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  • Jasper Wilkins

    great song!!! :)

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  • jesusnthedaisychain

    Descriptions are hard to read, aren't they?

    A zoom into the Mandelbrot Set, from 1:1 scale to a 6th-level mini-set. Set to Jonathan Coulton's "Mandelbrot Set" (used under the Creative Commons license; share and enjoy!)

    ·

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    in reply to mystroun (Show the comment)
  • mystroun

    What is the song called

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  • superposition88

    I love this! Its good and correct.n

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  • faterock9876543

    I think it was because of the melody, not the lyrics

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    in reply to miyuoshibonni (Show the comment)
  • faterock9876543

    Oh don't worry, I did....like after three seconds.

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    in reply to M. Eric Carr (Show the comment)
  • Steven Christian

    Very bad resolution

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  • tapatiotorres22

    How Long Is the Coast of Britain? hehe good video.

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  • Øyvind Mygland

    Me to!

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    in reply to Sim Salabim (Show the comment)
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