Wikipedia:Reference desk/Archives/Mathematics/2010 February 26

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February 26[edit]

Mathematics: Complex Numbers and the Mandelbrot Set[edit]

3D Mandelbulb

Are there any instances of a 3-4 dimensional representation of the Mandelbrot Set actually appearing in reality, and if so, what are the implications of such a representation as regards to its 2-dimensional counterpart, described here? In short, could there exist a fractal like the Mandelbrot set, but in a 3 dimensional format, (analogous to an actual carboard box shaped into a cube along with its square counterparts on its sides)? —Preceding unsigned comment added by 71.108.11.25 (talk) 08:53, 26 February 2010 (UTC)[reply]

See 3D Mandelbulb. 75.62.109.146 (talk) 10:37, 26 February 2010 (UTC)[reply]
Thank you. I really appreciate the information and the speedy reply that you gave me. But I also see how you might be missing my point. I actually wanted to know whether a real-life Mandelbulb, as you termed it, could be constructed naturally rather than artificially, and lying outside the realm of computerization and mathematics; take, for example, this 3d representation of a fractal File:Sa-fern.jpg. 71.118.39.219 (talk) 04:47, 27 February 2010 (UTC)[reply]
Romanesco broccoli? 75.62.109.146 (talk) 08:47, 27 February 2010 (UTC)[reply]
Thank you. I greatly appreciate the new input. :| TelCoNaSpVe :| (talk) 08:31, 28 February 2010 (UTC)[reply]