How did Ramanujan solve the STRAND puzzle?


How did Ramanujan solve the STRAND puzzle?

How did Ramanujan solve the STRAND puzzle?

Today’s video is about making sense of an infinite fraction that pops up in an anecdote about the mathematical genius Srinivasa Ramanujan.

00:00 Intro

04:31 Chapter 1: Getting a feel for the puzzle

08:27 Chapter 2: Algebra autopilot

12:37 Chapter 3: Infinite fraction

17:51 Chapter 4: Root 2

21:19 Chapter 5: Euclidean algorithm

30:15 Chapter 6: The best of the best: 17/12

36:34 Chapter 7: Outramanujing Ramanujan

This was supposed to be a short video but in the end turned out to be quite a tricky to sort out. Anyway, as it sometimes happens, I got carried away and now the video really covers a lot of ground : Pell equations, visualising continued fractions by dissecting rectangles into squares, the relationship between continued fractions and the Euclidean algorithm, the irrationality of root 2. Overall quite a few things that you won’t find anywhere else

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