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arXiv:1105.2591physics.bio-ph

Leonardo's rule, self-similarity and wind-induced stresses in trees

Christophe Eloy

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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.

arXiv comments
Journal reference
Physical Review Letters, 107, 258101 (2011)
DOI
doi:10.1103/PhysRevLett.107.258101
Subjects
physics.bio-phBiological Physics physics.flu-dynFluid Dynamics

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