A Geometrical Optimization Problem Associated with Fruits of Poppy Flower

Gözde Değer; Mehmet Pakdemirli; Feyza Candan

doi:10.3390/mca14030169

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1 December 2009

A Geometrical Optimization Problem Associated with Fruits of Poppy Flower

and

Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey

Department of Biology, Celal Bayar University, 45140 Muradiye, Manisa, Turkey.

Author to whom correspondence should be addressed.

Math. Comput. Appl.2009, 14(3), 169-175;https://doi.org/10.3390/mca14030169

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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.

Keywords:

Surface Area Optimization; Geometry of Poppy Fruit; Calculus, Papaver rhoeas L.

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