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Geometry

Bengaluru | Nov 15, 2019
The ubiquity of Hyperbolic Geometry

We all know that the geometric object of minimal surface area amongst all shapes with a fixed volume is the round ball, whose boundary is spherical. Water blobs try to minimise surface area and curl into spherical droplets. The physical problem of surface-area minimisation is thus quite well understood. What about the opposite problem of surface-area maximisation? Does the problem even make sense? Indeed it does. Trees try to maximise surface area to get the most of sunlight through their leaves.

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