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Explore the fascinating world of fractals and roughness in this captivating 17-minute TED talk by mathematics legend Benoit Mandelbrot. Delve into the extreme complexity of roughness and discover how fractal mathematics can reveal order within seemingly chaotic patterns. Building upon his groundbreaking ideas first presented at TED in 1984, Mandelbrot expands on the concept of fractals and their applications in understanding the natural world. Gain insights into how these intricate mathematical structures can help us comprehend and analyze complex phenomena across various fields of study.