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

A Geometrical Optimization Problem Associated with Fruits of Poppy Flower

1
Department of Mechanical Engineering, Celal Bayar University, 45140 Muradiye, Manisa, Turkey
2
Department of Biology, Celal Bayar University, 45140 Muradiye, Manisa, Turkey.
*
Author to whom correspondence should be addressed.
Published: 1 December 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.
Keywords: Surface Area Optimization; Geometry of Poppy Fruit; Calculus, Papaver rhoeas L. Surface Area Optimization; Geometry of Poppy Fruit; Calculus, Papaver rhoeas L.
This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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MDPI and ACS Style

Değer, G.; Pakdemirli, M.; Candan, F. A Geometrical Optimization Problem Associated with Fruits of Poppy Flower. Math. Comput. Appl. 2009, 14, 169-175.

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Math. Comput. Appl. EISSN 2297-8747 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
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