# Area-Perimeter Relation for Rain and Cloud Areas

@article{Lovejoy1982AreaPerimeterRF, title={Area-Perimeter Relation for Rain and Cloud Areas}, author={S. Lovejoy}, journal={Science}, year={1982}, volume={216}, pages={185 - 187} }

Following Mandelbrot's theory of fractals, the area-perimeter relation is used to investigate the geometry of satellite- and radar-determined cloud and rain areas between 1 and 1.2 x 106 square kilometers. The data are well fit by a formula in which the perimeter is given approximately by the square root of the area raised to the power D [See equation in the PDF], where D is interpreted as the fractal dimension of the perimeter. It is concluded that rain and cloud perimeters are fractals—they… Expand

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