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Millions of us regularly solve Sudoku puzzles. In this lecture, we discuss the mathematics behind them, and the links to other kinds of number grids, like magic squares and so-called Latin squares, which have been studied for centuries. Latin squares have many applications in areas as diverse as experiment design, algebra and coding theory. This lecture was recorded by Sarah Hart on 21st November 2023 at Barnard's Inn Hall, London. Sarah is Gresham Professor of Geometry. She is also Professor Emerita of Mathematics at Birkbeck, University of London. https://www.gresham.ac.uk/speakers/pr... The transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/watch-now/m... Gresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/ Website: https://gresham.ac.uk Twitter: / greshamcollege Facebook: / greshamcollege Instagram: / greshamcollege