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Clouds are not spheres, mountains are not cones, and lightning does not travel in a straight line. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes. <br><br>Now that the field has expanded greatly with many active researchers, Mandelbrot presents the definitive overview of the origins of his ideas and their new applications. <i>The Fractal Geometry of Nature</i> is based on his highly acclaimed earlier work, but has much broader and deeper coverage and more extensive illustrations.