Indra's Pearls - Mumford David
Indra's Pearls - Mumford David Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of…
Specifikacia Indra's Pearls - Mumford David
Indra's Pearls - Mumford David
Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. For a century, these images barely existed outside the imagination of mathematicians. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries.
Join the authors on the path from basic mathematical ideas to the simple algorithms that create the delicate fractal filigrees, most of which have never appeared in print before. However, in the 1980s, the authors embarked on the first computer exploration of Klein's vision, and in doing so found many further extraordinary images. Beginners can follow the step-by-step instructions for writing programs that generate the images.
Others can see how the images relate to ideas at the forefront of research.
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