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Article
Integer Solutions to Box Optimization Problems
The College Mathematics Journal
  • Vincent E. Coll, Jr., Lehigh University
  • Jeremy Davis, Georgia Southern University
  • Martin Hall, Georgia Southern University
  • Colton Magnant, Georgia Southern University
  • James Stankewicz, Wesleyan University
  • Hua Wang, Georgia Southern University
Document Type
Article
Publication Date
5-1-2014
DOI
10.4169/college.math.j.45.3.180
Disciplines
Abstract

Two approaches contribute to the problem of finding integer side-lengths for open rectangular and polygonal boxes that optimize volume. One method adapts Pythagorean triples to an ellipse, while the other is based on counting factorizations.

Citation Information
Vincent E. Coll, Jeremy Davis, Martin Hall, Colton Magnant, et al.. "Integer Solutions to Box Optimization Problems" The College Mathematics Journal Vol. 45 Iss. 3 (2014) p. 180 - 190 ISSN: 1931-1346
Available at: http://works.bepress.com/hua_wang/91/