Leonardo's rule, self-similarity and wind-induced stresses in trees - Archive ouverte HAL Access content directly
Preprints, Working Papers, ... Year : 2011

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

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.
Fichier principal
Vignette du fichier
1105.2591.pdf (854.08 Ko) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-00712263 , version 1 (21-09-2023)

Identifiers

Cite

Christophe Eloy. Leonardo's rule, self-similarity and wind-induced stresses in trees. 2023. ⟨hal-00712263⟩
54 View
2 Download

Altmetric

Share

Gmail Facebook X LinkedIn More