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Literature DB >> 22243116

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.

Entities: Disease

Mesh：

Year: 2011 PMID： 22243116 DOI： 10.1103/PhysRevLett.107.258101

Source DB: PubMed Journal: Phys Rev Lett ISSN： 0031-9007 Impact factor: 9.161

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Cited

6 in total

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Authors: Duncan D Smith; John S Sperry; Frederick R Adler
Journal: Ann Bot Date: 2016-12-27 Impact factor: 4.357

Review 2. The pipe model theory half a century on: a review.

Authors: Romain Lehnebach; Robert Beyer; Véronique Letort; Patrick Heuret
Journal: Ann Bot Date: 2018-04-18 Impact factor: 4.357

3. Avoiding steric congestion in dendrimer growth through proportionate branching: a twist on da Vinci's rule of tree branching.

Authors: Xuyi Yue; Marc B Taraban; Laura L Hyland; Yihua Bruce Yu
Journal: J Org Chem Date: 2012-10-10 Impact factor: 4.354

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

1. Convergence in leaf size versus twig leaf area scaling: do plants optimize leaf area partitioning?

Review 2. The pipe model theory half a century on: a review.

3. Avoiding steric congestion in dendrimer growth through proportionate branching: a twist on da Vinci's rule of tree branching.

4. Wind loads and competition for light sculpt trees into self-similar structures.

5. How neurons exploit fractal geometry to optimize their network connectivity.

6. Gigantic floating leaves occupy a large surface area at an economical material cost.