Boxes, Pans, and Cans: A Diohpantine Approach to Optimization

Authors

• Vincent E. Coll Jr., Lehigh UniversityFollow
• Jeremy Davis, Georgia Southern UniversityFollow
• Martin Hall, Georgia Southern UniversityFollow
• Colton Magnant, Georgia Southern UniversityFollow
• James Stankewicz, University of Georgia
• Hua Wang, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

2014

Publication Title

College Mathematics Journal

DOI

10.4169/college.math.j.45.3.180

ISSN

1931-1346

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.

Recommended Citation

Coll, Vincent E. Jr., Jeremy Davis, Martin Hall, Colton Magnant, James Stankewicz, Hua Wang. 2014. "Boxes, Pans, and Cans: A Diohpantine Approach to Optimization." College Mathematics Journal, 45 (3): 180-190. doi: 10.4169/college.math.j.45.3.180
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/222

Copyright

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