Integer Solutions to Box Optimization Problems

Vincent E. Coll, Jeremy Davis, Martin Hall, Colton Magnant, James Stankewicz, Hua Wang

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageAmerican English
JournalThe College Mathematics Journal
Volume45
DOIs
StatePublished - May 1 2014

Disciplines

  • Education
  • Mathematics

Keywords

  • Ellipses
  • Factorizations
  • Integer side-lengths
  • Open rectangular box
  • Polygonal boxes
  • Pythagorean triples

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