A geometrical optimization problem associated with, fruits of poppy flower

Deger G., Pakdemirli M., CANDAN F.

Mathematical and Computational Applications, cilt.14, sa.3, ss.169-175, 2009 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 14 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.3390/mca14030169
  • Dergi Adı: Mathematical and Computational Applications
  • Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.169-175
  • Anahtar Kelimeler: Calculus, Geometry of poppy fruit, Papaver rhoeas L., Surface area optimization
  • Manisa Celal Bayar Üniversitesi Adresli: Evet

Özet

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.