This video explains the facts presented in Math Facts that Sound Fake but are Actually True ( • Math Facts that Sound Fake But are Actuall... . The facts are amazing, sure, but the reasons behind them are in many ways even more incredible!
Not all the facts are explaining in a reasonable length video, but you might spot a fun Star Trek retcon explanation related to one of the facts and a couple of great puns instead. Below are the time stamps for each fact if you want to jump to just one of them.
0:35 i^i is a real number
8:55 e^(i pi) + 1 = 0
10:08 Large numbers are incomprehensibly big, but never get any closer to infinity
13:08 Mobius band
14:34 Klein bottle
16:50 Fermat's Last Theorem and a Star Trek retcon
21:55 Solvable polynomials and Galois Theory (puns/wordplay on Abel and Galois)
24:52 It only takes 23 people in a room to have a more than 50% chance two of them have the same birthday
29:59 It is practically impossible that any deck of 52 cards have ever been shuffled the same way twice
Andrew Wiles paper proving Fermat's Last Theorem:
Modular Elliptic Curves and Fermat's Last Theorem
http://www.scienzamedia.uniroma2.it/~...
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Music
End of the Rainbow by Quincas Moreira
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Images
Pierre de Fermat
License: Public Domain
Source: https://commons.wikimedia.org/wiki/Fi...
Hands holding a bunch of playing cards
License: Public Domain
Source: https://www.goodfreephotos.com/public...
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Video
Star Trek: The Next Generation
The Royale
Copyright CBS Studios Inc.
Short clip used under Fair Use as this work is transformative and contains significant commentary on the clip.
Star Trek: Deep Space Nine
Facets
Copyright CBS Studios Inc.
Short clip used under Fair Use as this work is transformative and contains significant commentary on the clip.