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.
Math. Comput. Appl. 2009, 14(3), 169-175; https://doi.org/10.3390/mca14030169
Published: 1 December 2009
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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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 StyleDeğer, 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
