A Latin square is an nxn grid of symbols in which each of n symbols appears once in each row and each column. We will discuss orthogonality, Cayley tables, and the analogy of Latin squares to the rook problem, and you will discover how Latin squares apply to tire rotation. What does the number in the title have to do with Latin squares? Come find out.
Yup. That's my title and abstract for my upcoming talk at the Hudson River Undergraduate Math Conference, which will be held at Williams College on April 30. Sounds like fun. You should stop by; my talk is only 15 minutes long.
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