A geometrical optimization problem associated with, fruits of poppy flower

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Date

2009

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Abstract

Inspired from the poppy fruit (Papaver rhoeas L.), a geometrical, optimization problem is posed. The aim is to minimize the surface area for a given, volume. The poppy fruit geometry is selected as the optimization geometry. The, mathematical problem is solved using calculus. The optimum solutions obtained from, mathematical model are contrasted with measurements of the fruit. A good agreement, with difference in areas less than 1% in most of the cases is observed between the, results.

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