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POPSGeeky Math Equation Creates Beautiful 3-D World The quest by a group of math geeks 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.
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POPSAwe struck This is really amazing, you can view the fractal show @ source. So beautiful!!!
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POPSArthur Clarke - Fractals - The Colors Of Infinity Arthur C. Clarke presents this unusual documentary on the mathematical discovery of the Mandelbrot Set (M-Set) in the visually spectacular world of fractal geometry. This show relates the science of the M-Set to nature in a way that seems to identify the hand of God in the design of the universe itself. Dr. Mandelbrot in 1980 discovered the infinitely complex geometrical shape called the Mandelbrot Set using a very simple equation with computers and graphics.
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POPSWhere mathematic and art meet - Fractal art ..inspirational "A fractal is generally “a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole,” a property called self-similarity. The term was coined by Benoît Mandelbrot in 1975 and was derived from the Latin fractus meaning “broken” or “fractured.” -Wikipedia
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POPSSeeing in four dimensions The videos are all available free at www.dimensions-math.org. The videos go on to show how we can visualize imaginary numbers geometrically, how fractal patterns emerge in the Mandelbrot set and Julia sets, and how beautiful and complex shapes can be built up from circles.
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POPSThe Future of Gaming I have tried to capture some hints about the future of gaming. As the author remarks: "For now, the only way to predict the future of gaming is to predict that all predictions will be wrong." Yet, it seems that in the not so far future, games are going to deeply affect the way we perceive our world. Especially the younger generations will be affected, and to some extent it is already happening. It seems that eventually games will not only affect our perception of the world, they WILL become a substantial part of our world.
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POPSMandelbrot Fractal The most famous Mandelbrot. We as humans have an aesthetic preference to fractals. Famous fractal painter before the discovery of fractals: Pollock.
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POPSSix Degrees Mapper Stumped on Six Degrees of Kevin Bacon? Let this website do the connections... better yet, try your best to stump it. You'll be surprised.