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How an SAT question became a mathematical paradox. Head to https://brilliant.org/veritasium to start your free 30-day trial, and the first 200 people get 20%...
For anyone still struggling with the intuition:
How many times does a circle rotate if you roll it around a tiny dot? 1
How many times does it rotate if you roll it around another circle the same size? Gotta be more than the dot, right?