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Mathematics of scale: Big, small and everything in between

  • Written by Mitchell Newberry, Assistant Professor of Complex Systems, University of Michigan
Mathematics of scale: Big, small and everything in betweenHow many lakes are in Alaska? Thermokarst lakes on Alaska's North Slope are self-similar and fractal.Painting by Cherissa Dukelow, CC BY-SA

Breathe. As your lungs expand, air fills 500 million tiny alveoli, each a fraction of a millimeter across. As you exhale, these millions of tiny breaths merge effortlessly through larger and larger airways into...

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