A Mathematical Programming Approach for Mongolia’s “The Four Strongest” Puzzle
Year: 2024
Type: article
Abstract: We describe a mathematical programming approach to solve a recently proposed puzzle from Mongolia. This puzzle involves physically laying out toys of four legendary Mongolian animals in different orientations and positions within a box such that they fit. The author of the puzzle finds a solution by an exhaustive enumeration of the exponentially many possibilities and by employing a series of axiomatic assumptions. In the absence of the physical toys (and, thus, their true measurements), could we use operations research to help us? We present one such approach and several exercises that could be tasked in an introductory course on mathematical optimization. Classroom activities provide us a diverse set of solutions for some of these exercises. Supplemental Material: The online appendix is available at https://doi.org/10.1287/ited.2024.0112 .
Author: Bismark Singh
Institution: University of Southampton
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4404853328