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Zinc metal leaves are grown two-dimensionally by electrodeposition. The structures clearly remind us of the random patterns simulated by computer according to the Witten-Sander diffusion-limited-aggregation model. The scale invariance is tested by computing the density-density correlation function for the digitized patterns of the photographs. The Hausdorff dimension averaged over many examples is D=1. 660. 03, which is in excellent agreement with that of the two-dimensional diffusion-limited-aggregation model (D53).
Matsushita et al. (Mon,) studied this question.