Recreational mathematics
Vi Hart

About pi and tau

  1. A Song About A Circle Constant
  2. Pi Is (still) Wrong.
  3. Rhapsody on the Proof of Pi = 4
  4. Are Shakespeare's Plays Encoded within Pi?

Rhapsody on the Proof of Pi = 4 Correction: when I mark where pi is on the graph, I meant pi/2! Note: If this video were supposed to be teaching you, I'd probably have to make it boring and say that in one sense of limits, spoiler alert, you actually do approach a circle and a line, solving the apparent paradox by saying that the invariant of length does not hold over infinity. Luckily I am an artist, and this is a Rhapsody, and instead of "learning," you get to actually think, if you like.

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Rhapsody on the Proof of Pi = 4

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