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

2011/05/13 by Christophe Eloy · 1 voice
Physics and Astronomy · #physics.bio-ph #physics.flu-dyn

paper · pdf · doi:10.1103/physrevlett.107.258101

published as Physical Review Letters, 107, 258101 (2011)

arxiv published 2011/05/13 · arxiv created 2011/11/15 · arxiv updated 2011/12/19

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.

Discussions

• Leonardo's rule, self-similarity and wind-induced stresses in trees (2011) [hn, 3 points, 0 comments]

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