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The authors begin with Leonardo da Vinci's observation that trees limbs preserve their thickness as they branch. The parameter α, known as the radius scaling exponent in self-similar branching ...

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Trees are loosely fractal, branching forms that repeat the same patterns at smaller and smaller scales from trunk to branch tip. Jingyi Gao and Mitchell Newberry examine scaling of branch thickness in ...

The body carefully controls the thickness of vessels as they branch, because deviation from the most efficient diameter wastes energy and causes disease, such as atherosclerosis. In many cases, such ...

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