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Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
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Article

A Geometrical Optimization Problem Associated with Fruits of Poppy Flower

by
Gözde Değer
1,
Mehmet Pakdemirli
1,* and
Feyza Candan
2
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.
Math. Comput. Appl. 2009, 14(3), 169-175; https://doi.org/10.3390/mca14030169
Published: 1 December 2009
Versions Notes

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.

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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. https://doi.org/10.3390/mca14030169

AMA Style

Değer G, Pakdemirli M, Candan F. A Geometrical Optimization Problem Associated with Fruits of Poppy Flower. Mathematical and Computational Applications. 2009; 14(3):169-175. https://doi.org/10.3390/mca14030169

Chicago/Turabian Style

Değer, Gözde, Mehmet Pakdemirli, and Feyza Candan. 2009. "A Geometrical Optimization Problem Associated with Fruits of Poppy Flower" Mathematical and Computational Applications 14, no. 3: 169-175. https://doi.org/10.3390/mca14030169

APA Style

Değer, G., Pakdemirli, M., & Candan, F. (2009). A Geometrical Optimization Problem Associated with Fruits of Poppy Flower. Mathematical and Computational Applications, 14(3), 169-175. https://doi.org/10.3390/mca14030169

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