The Mandelbrot set, named for Benoit Mandelbrot.
He built on what came before, and in so doing, revolutionized it. Like those intellectual explorers before him, Mandelbrot looked at the world and saw a previously unseen truth.
Mandelbrot’s sudden deciphering of the ‘drunken walk’ is no different from, nor any less significant than, Einstein’s discovery of relativity, Isaac Newton’s apple-inspired understanding of gravity, and the original “eureka” moment, when Archimedes’ bodily volume displaced the water in his tub. The formal steps of providing solid proof soon follow this “eureka” moment, during which the answer is revealed. Such amazing intuitive leaps are familiar in science. Mandelbrot described looking at the ‘drunkard’s walk’- a kind of ‘random walk’ equation-and “seeing” what its fractal dimension was, intuitively. However, fractal dimensionality was unknown before Benoît Mandelbrot’s work, which from the late 60s on illuminated this deep truth about the geometry of the world.ĭuring Mandelbrot’s 2002 talk, it struck me how much intuition informed his discovery of fractal geometry.
The great pleasure was seeing the man himself – Benoît Mandelbrot, the Father of Fractal Geometry – talk about how he revolutionized science, math, and our entire view of the world.įractal dimensionality explains something truly fundamental about the forms and patterns we see daily. Visit to find out about the application, download it, and see some of the amazing images that fractal artists have created using the software.īenoît Mandelbrot speaking in 2007, image from Wikimedia All of these can be combined into infinite variations with the ability to hybridize different formulas together. A few of the supported 3D fractals: Mandelbulb, Mandelbox, BulbBox, JuliaBulb, Menger Sponge, Quaternion, Trigonometric, Hypercomplex, and Iterated Function Systems (IFS). Mandelbulber is an experimental application that helps to make rendering 3D Mandelbrot fractals much more accessible. Most of the images on this site, at time of launch, were created using the Mac version of this application.įor those wishing to explore 3D Fractal forms in greater depth, these programs are invaluable. The community members who discovered the Mandelbulb also developed two pieces of software for rendering images of it, and its family of complex, chaotic objects: Mandelbulber (Windows, Mac, Linux) and Mandelbulb 3D (Windows, Linux). Mandelbulber is a software program created to capture images of the Mandelbulb and other 3D fractals.
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