Leonardo's rule, self-similarity and wind-induced stresses in trees
arXiv:1105.2591 · doi:10.1103/PhysRevLett.107.258101
Abstract
Examining botanical trees, Leonardo da Vinci noted that the total cross-section of branches is conserved across branching nodes. In this Letter, it is proposed that this rule is a consequence of the tree skeleton having a self-similar structure and the branch diameters being adjusted to resist wind-induced loads.
References in corpus (1)
Cited by in corpus (10)
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