Leonardo's rule, self-similarity and wind-induced stresses in trees
classification
⚛️ physics.bio-ph
physics.flu-dyn
keywords
leonardoruletreeswind-inducedacrossadjustedbotanicalbranch
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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.
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