Why is pi here? And why is it squared? A geometric answer to the Basel problem

The video explores the Basel problem, a mathematical challenge involving the sum of inverse squares, solved by Euler. It uses a lighthouse analogy to explain the inverse square law and introduces the inverse Pythagorean theorem. The video demonstrates constructing an infinite array of lighthouses to solve the Basel problem, ultimately deriving the sum as π^2/6. It concludes with a discussion on effective learning principles, emphasizing active engagement and learning from failure.

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