Complex Systems Studies

Fractal scaling of trees in art

Leonardo da Vinci famously invented a so-called "rule of trees" as a guide to realistically depicting trees in artistic representations according to their geometric proportions. In essence, if you took all the branches of a given tree, folded them up and compressed them into something resembling a trunk, that trunk would have the same thickness from top to bottom. That rule in turn implies a fractal branching pattern, with a scaling exponent of about 2 describing the proportions between the diameters of nearby boughs and the number of boughs with a given diameter.

https://arxiv.org/abs/2402.13520

www.group-telegram.com/us/ComplexSys.com/5827

954 viewsJan 8 at 09:45

Fractal scaling of trees in art

Leonardo da Vinci famously invented a so-called "rule of trees" as a guide to realistically depicting trees in artistic representations according to their geometric proportions. In essence, if you took all the branches of a given tree, folded them up and compressed them into something resembling a trunk, that trunk would have the same thickness from top to bottom. That rule in turn implies a fractal branching pattern, with a scaling exponent of about 2 describing the proportions between the diameters of nearby boughs and the number of boughs with a given diameter.

https://arxiv.org/abs/2402.13520

BY Complex Systems Studies