Does the number Pi actually exist?

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Whether or not pi exists has some very deep implications about circles, matter, computing, space-time, gravity, and quantum physics. Let's see if we can tackle some of them in honor of pi day!
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VIDEO ANNOTATIONS/CARDS

Does Electricity REALLY Flow?
https://youtu.be/QKxep82_9b8

SOL and S'mores:
http://youtu.be/rwEP-IOUXC8
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RELATED YOUTUBE VIDEOS

Physics Girl's Pi Day Video:
https://youtu.be/M34TO71SKGk

3blue1brown's Channel:
https://www.youtube.com/3blue1brown

Crash Course Computer Science:
https://youtu.be/1GSjbWt0c9M
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HUGE THANK YOU TO THESE PATRONS

Einsteinium Crazies:
Albert B. Cannon, Tim Ruffles, LT Marshall Faulds, Ilya Yashin, Rick Finn

Plutonium Crazies:
Anamnesia, JKLMN Anderson, Timothy Blahout, Kevin MacLean

Platinum Crazies:
Vittorio Monaco, Neil.L.Steven, Al Davis, Stephen Blinn, Mikayla Eckel Cifrese, Evgeny Ivanov
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OTHER SOURCES

http://mathworld.wolfram.com/PiFormulas.html
http://www.geom.uiuc.edu/~huberty/math5337/groupe/digits.html
https://www.exploringbinary.com/pi-and-e-in-binary/
https://www.rapidtables.com/convert/number/binary-to-decimal.html
https://apod.nasa.gov/htmltest/gifcity/sqrt2.1mil
https://www.etymonline.com/word/irrational
https://en.wikipedia.org/wiki/Double-precision_floating-point_format
http://www.preposterousuniverse.com/blog/2013/01/04/the-world-of-everyday-experience-in-one-equation/
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LINKS TO COMMENTS

https://www.youtube.com/watch?v=mF0-CKXUktU&lc=Ugwi-Gw6Z9tu8lYzgad4AaABAg
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IMAGE CREDITS

World Map:
https://commons.wikimedia.org/wiki/File:BlankMap-World.svg
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