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Rhapsody on the Proof of Pi = 4

Vihart Vihart·69 videos
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Published on Apr 5, 2012

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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Top Comments

  • demurgos

    In maths, lines have no thickness.

    · 70

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    in reply to michael newman (Show the comment)
  • TheButterbreze

    brain.exe has stopped working and deleted itself

    · 27

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All Comments (2,647)

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  • lougdrblackened

    Bam. Got it: infinity equals negative zero. You're welcome, math.

    ·

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  • Felix Cress

    But if pi equals four, doesn't tau have to equal eight?

    ·

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  • HippoTNT

    havent watched yet but if Pi is 3.14... then because of the 3.1 doesn't it round down to 3 so Pi = 3

    ·

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  • PandasHuggingPonies

    at least it still has finite length. Brownian motion, for instance, does not.

    ·

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  • oetelaar3

    but what if you do the process of taking squares out of a square until you reach the Planck length?

    ·

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  • Silentsam7532

    I started thinking about string theory in the end...

    ·

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  • Lydia Holmes

    *brain explosion*

    ·

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  • NeverStopReasoning

    And yet there is such a thing as a "space-filling curve."

    ·

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    in reply to demurgos (Show the comment)
  • J.L. Romero

    mind = blowen am i right guys

    ·

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