%0 Generic %1 Eloy2011 %A Eloy, Christophe %D 2011 %K fractals %T Leonardo's rule, self-similarity and wind-induced stresses in trees %U http://arxiv.org/abs/1105.2591 %X 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.

@misc{Eloy2011, 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. }, added-at = {2011-11-16T16:45:23.000+0100}, author = {Eloy, Christophe}, biburl = {https://www.bibsonomy.org/bibtex/2616d2e816c35b4a12e79236324386391/vakaryuk}, description = {Leonardo's rule, self-similarity and wind-induced stresses in trees}, interhash = {9a4e66eff182a14e06ea878cc1c8165c}, intrahash = {616d2e816c35b4a12e79236324386391}, keywords = {fractals}, note = {cite arxiv:1105.2591}, timestamp = {2011-11-16T16:45:23.000+0100}, title = {Leonardo's rule, self-similarity and wind-induced stresses in trees}, url = {http://arxiv.org/abs/1105.2591}, year = 2011 }