Title

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

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.

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