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• 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?

• @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.

• 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...

• 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.

• 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)

• Buddha-Ful﻿

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

• 1:59﻿ pandabrot

• Or is this﻿ at full resolution already?

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

• awesome vid but the music sucks﻿

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

• well i think ill become a﻿ buddhist now

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

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