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Puzzle—A Mathematical Programming Approach for Mongolia’s “The Four Strongest” Puzzle

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  • Bismark Singh

    (Operational Research, School of Mathematical Sciences, University of Southampton, Southampton SO17 1BJ, United Kingdom)

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.

Suggested Citation

  • Bismark Singh, 2025. "Puzzle—A Mathematical Programming Approach for Mongolia’s “The Four Strongest” Puzzle," INFORMS Transactions on Education, INFORMS, vol. 25(3), pages 265-269, May.
    • Handle: RePEc:inm:orited:v:25:y:2025:i:3:p:265-269
    DOI: 10.1287/ited.2024.0112
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