Youtube hearted comments of Jeff Huffman (@tejing2001).

  1. I thought I had a decent general background in this, but your presentation, despite being aimed at a layman, really helped solidify my understanding. It's not easy to make explanations that can be followed by anyone, but also actually hit the mark from the perspective of those with more knowledge. Well done guys :-)
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  2. I really love the graphical intuition added onto that one sentence proof. It makes it a lot clearer WHY that function is an involution and has exactly 1 fixed point. Also, you misspoke. At 28:54 you said "b squared" instead of "c squared." >.< Gotta be tough to get through that stuff without any mistakes. At least it's clear what you meant cause of the written equations.
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  3. Convention, mostly. The equivalence classes mod n are normally named by the smallest element in them >= 0. Though honestly it's often more intuitive to think of the classes just under n as negative numbers instead.
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  4. I'm definitely looking forward to a proper proof that all primes equal to 1 mod 4 can be written as a sum of 2 squares. 3blue1brown did this same topic (it's probably my favorite video he ever did) and skipped that part as well, and it's been floating in the back of my mind as an unsolved problem ever since.
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  5. I came up with the coloring proof on my own with the video paused. I do like it better than the swivel proof, but mostly just because it feels more rigorous. EDIT: To answer your final question, the diameter of the circle is clearly larger, since one of the diameters of the other shape forms a non-diameter chord of the circle.
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