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Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure

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Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure - David, Guy, and Semmes, Stephen
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Fractal patterns have emerged in many contexts, but what exactly is a pattern? How can one make precise the structures lying within objects and the relationships between them? This book proposes new notions of coherent geometric structure to provide a fresh approach to this familiar field. It develops a new concept of self-similarity called "BPI" or "big pieces of itself," which makes the field much easier for people to enter. This new framework is quite broad, however, and has the potential to lead to significant ...

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Fractured Fractals and Broken Dreams: Self-Similar Geometry Through Metric and Measure 1998, Clarendon Press, Oxford, England

ISBN-13: 9780198501664

Hardcover