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leaf-300The fractal branching pattern visible in a whole tree is continued on the smallest level in the veins of single leaves.


In other plants the arrangement of the leaves themselves follows a logarithmic spiral, in many cases also following the Fibonacci sequence.


Another well known example is the self similarity of fern-leaves, where each leaf is composed of small copies of itself:

The mathematical equivalent is the Barnsley Fern.

Further Reading & Sources

Leaf veins inspire a new model for distribution networks – Science Daily Article 2010
Recognition of leaf image based on outline and vein fractal dimension feature


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