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The paths of billiard balls on a table can be long and complicated. To understand them mathematicians use a beautiful trick, turning tables into surfaces.

The natural numbers, 1, 2, 3, 4, ..., are nice. So what could be nicer than discovering interesting patterns within them?

Fields medallist Cédric Villani talks to us about our solar system, chaos, and what it's like being a mathematical superstar.