Youtube hearted comments of David Terr (@dcterr1).

  1. Another truly amazing video! Ramanujan was amazing, and so are you!
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  2. Wow, this is an amazing result! I'm a 59-year-old mathematician and I've never heard of it before, go figure!
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  3. I wonder if the optimal solutions for 5 or more disks are unprovable even in principle.
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  4. Great video - I really learned a lot from this one!
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  5. Wonderful video highlighting the genius of Ramanujan and the power of continued fractions.
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  6. One thing I find fascinating is the connection between the Hanoi graph and the Sierpinski triangle. I wonder if the number 466/855 fits into the Sierpinski triangle in any natural way, without regard to the Tower of Hanoi puzzle.
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  7. Great explanation as always! I love how you manage to derive results without using calculus that seem to require them, and this is a good case in point!
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  8. By the way, Dr. Who was a great show! Great choice for introducing the Tower of Hanoi puzzle!
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  9. Wow, you never stop blowing me away with your videos! I'd offer you a googol dollars for letting me watch it, but I'm afraid I don't have the exact change!
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  10. Geometry was never my specialty unfortunately, so I don't have anything like the intuition Conway had for coming up with his six-point theorem or the windscreen wiper theorem, but I'm still quite awed by both proofs! I'm also awed by the connection with curves of constant width, which I already knew about and strangely I had a feeling would be mentioned later in the video.
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  11. Paradoxes involving infinity are quite intriguing! Some other good examples are Hilbert's Hotel and the Tarski paradox.
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  12. So was anyone able to solve Ramanujan's problem, or did he have to present the solution himself?
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  13. By the way, I recall a few years ago solving an Euler problem involving computing the number of ways of making change for 2 (British) pounds using British currency, but I did it the hard way, by brute force! I got the right answer, but my solution involved computer code with about 10 nested loops! I wish I'd known at the time this much simpler method!
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  14. Wow, this video really blew my mind! Some very amazing combinatorics! Now I think I know how to solve one of the projecteuler problems that stumped me for several years, namely figuring out the number of domino tilings of a 3 x 2n board.
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  15. Your videos are amazing! This is the first one I've watched in a year or so, and I'm just as amazed by this one as by your earlier ones. I learned two important things from this video. First, I learned a very intuitive visual proof that the alternating harmonic series converges to ln(2). Second, I learned another very intuitive proof of Riemann's rearrangement theorem, which I never even knew how to prove before! As always, excellent job!
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  16. I think I liked the visual proof at the end the best, but then again, I already know most of the other stuff. The overhanging parabolic arrangement of blocks was also very cool.
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  17. Wow! I wish I'd learned this stuff before I learned calculus! It's pretty amazing that you don't need calculus to explain why the area under the hyperbola y = 1/x is a logarithm, and you only need to evaluate a simple limit to define e. I was equally amazed by your definitions of the hyperbolic functions in terms of areas invariant to shapeshifting, which also doesn't require calculus. Pretty amazing stuff!
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  18. Is there any connection between curves of constant width and Bezier curves?
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