Boxes, Pans, and Cans: A Diohpantine Approach to OptimizationCollege Mathematics Journal
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 InformationVincent E. Coll, Jeremy Davis, Martin Hall, Colton Magnant, et al.. "Boxes, Pans, and Cans: A Diohpantine Approach to Optimization" College Mathematics Journal Vol. 45 Iss. 3 (2014) p. 180 - 190
Available at: http://works.bepress.com/colton_magnant/36/