Awesome Math Equation Creates Beautiful 3-D World
source: http://www.wired.com/wiredscience/2009/12/mandelbulb-gallery/all/1
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- notsafeforwork
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The quest by a group of math scientists to create a three-dimensional analogue for the mesmerizing Mandelbrot fractal has ended in success.
They call it the Mandelbulb. The 3-D renderings were generated by applying an iterative algorithm to a sphere. The same calculation is applied over and over to the sphere’s points in three dimensions. In spirit, that’s similar to how the original 2-D Mandelbrot set generates its infinite and self-repeating complexity.
They call it the Mandelbulb. The 3-D renderings were generated by applying an iterative algorithm to a sphere. The same calculation is applied over and over to the sphere’s points in three dimensions. In spirit, that’s similar to how the original 2-D Mandelbrot set generates its infinite and self-repeating complexity.
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- Tech, Max and Jason: Still Up, Mathematics
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Sam_the_Wizer
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It's amazing how organic they look.
- 2 years ago
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Sam_the_Wizer
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TheBrownKid
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Sam_the_Wizer:
Throwing this out there: does that mean we're getting closer to some equation that defines life?
- 2 years ago
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TheBrownKid
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Sam_the_Wizer
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Sam_the_Wizer:
Fractals occur quite often in nature, and many other elegant mathematical patterns do as well. I think that randomness is key to the development of organisms, both as individuals and as species as a whole through the process of evolution. As structures develop, new growth can occur in various locations with varying probabilities causing recursive structures that are similar within a species. Think of a tree growing new branches. No two trees are identical, but within a species there is similarity.
- 2 years ago
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Sam_the_Wizer
