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Fractal Dimension as a Quantitative Measure of Complexity in Plant DevelopmentProceedings of the Royal Society B: Biological Sciences, Vol. 262, No. 1363. (23 October 1995), pp. 1-6.
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AbstractThe shapes of 51 fronds from three species of brown algae (Fucus vesiculosus, Fucus serratus and Ascophyllum nodosum) were evaluated by computing the fractal dimensions (D) of their outlines. There was no difference in fractal dimension among mature fronds of the three species, and D was highly correlated with both developmental stage and structural complexity. With increasing age the plants grew not only larger but also more complex in form. Fractal dimension increased systematically with increasing complexity of shape from about 1 to 1.6. Fractal dimension thus provides a useful quantitative measure for the elaboration of shape complexity during plant development.
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