Very impressive graphics --- not least remarkable is the speed with which this (presumably enormous) browser page loads! I'm less taken by the geometry underpinning this project --- the use of humdrum spherical coordinates results in simple non-isotropic polygonal symmetry of the resulting surface, rather than genuinely polyhedral. A more sophisticated approach --- already suggested elsewhere --- is to employ quaternions instead of complex numbers, though I doubt the possibilities have been well explored; one major difficulty is analysis in the non-commutative algebra \H, a topic mentioned briefly before in these posts. WFL On 11/16/09, Simon Plouffe <simon.plouffe@gmail.com> wrote:
hello all,
These are incredible images of the Mandelbrot set in 3 dimensions.
http://www.skytopia.com/project/fractal/mandelbulb.html
similar to the Romanesco cauliflower
http://images.google.fr/images?q=chou+romanesco&oe=utf-8&rls=com.ubuntu:fr:u...
simon plouffe
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