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Buddhabrot (moleculardensity.net)

Albert Lobo Albert Lobo·2 videos
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Uploaded on Nov 15, 2006

Animated 4D rotation and zooming on the Buddhabrot.
Check out more buddhabrot stuff at http://www.moleculardensity.net/buddh...

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Uploader Comments (Albert Lobo)

  • brainflakes

    Projecting it with the Zr Zi Cr axes creates a great 3d cloud effect, how many points did you have to render? How long did the whole animation take to render?

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  • Albert Lobo

    @brainflakes: I don't remember how many points per frame exactly, but around a hundred million. A hundred frames took approximately 6 hours to render.

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    in reply to brainflakes (Show the comment)
  • Albert Lobo

    Creator's comment part 2.

    Note that the Mandelbrot/Buddhabrot does not have four spatial dimensions -it doesn't even deal with physical space to begin with! It's just that, when you render it, it can be interpreted as a 4D physical entity. That's just a means to get a handle on this mathematical concept and effectively represent it as an image -a beautiful image.

    In plain words, a fractal image is one that contains infinite copies of itself at different points and scales...

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  • Albert Lobo

    Creator's comment part 1.

    Hi everyone!

    The Buddhabrot is just another way to render the Mandelbrot set, and it's called like that because it resembles some depictions of Buddha.

    All four dimensions are spatial -no time dimension involved-; watch the axes of coordinates (top-left): at certain points (the 4D rotations), there appear 4 axis (Zr, Zi, Cr, Ci), one for each dimension. Check your regular search engine for more info on the BBrot & 4 dimensional objects.

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Top Comments

  • becomepostal

    4D is really 4 euclidian dimensions. It's hard to imagine, but it can be computed. Some say you can imagine it by starting with 3 orthogonal axes and then you add a fourth orthogonal direction. Others say 4D is to 3D what 3D is to 2D. There is even a site where you can *learn* to visualize 4D : dimensions-math. org (please note I'm not related to them in any way, it's free and I'm not spamming thanks you)

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    in reply to arand4 (Show the comment)
  • Lostone002

    Buddha-Ful

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All Comments (92)

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  • stevenk113

    Are you shitting me? How can you be into fractals and not the Beatles?

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    in reply to FractAlkemist (Show the comment)
  • Selenehendrix24

    1:59 pandabrot

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  • TiagoTiagoT

    Or is this at full resolution already?

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    in reply to TiagoTiagoT (Show the comment)
  • TiagoTiagoT

    Can you please upload the higher resolution version to Youtube?

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  • marwanxyz123

    the vid was awsome but the music is fucked up dude seriously man

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  • FractAlkemist

    awesome vid but the music sucks

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  • BadSmaxx

    Fantastic video! Must thank you for the many hours of work it took to render this!

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  • Rhett Miller

    well i think ill become a buddhist now

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  • denelson83

    I thought I could see the logistic map in one part of this animation.

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  • Maggie S

    i added this to my favorites. only because you used beatles music. good choice:3

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