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

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

2011-05-13

arxiv.org/abs/1105.2591v2

Physical Review Letters, 107, 258101 (2011)

Physics

Biological Physics

Scientific paper

10.1103/PhysRevLett.107.258101

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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