The Grasshopper Problem (VIDEO)

University of Cambridge

Caption

Picture a grasshopper landing randomly on a lawn of fixed area. If it then jumps a certain distance in a random direction, what shape should the lawn be to maximize the chance that the grasshopper stays on the lawn after jumping? These simulations show the optimal lawn shapes for jumps of various distances.

Credit

Olga Goulko/Adrian Kent

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Please credit Olga Goulko/Adrian Kent

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