The Square Puzzle #SoME3

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Published on July 31, 2023 8:40:46 PM ● Video Link: https://www.youtube.com/watch?v=tL3omzs8LnM

Duration: 19:38

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Nonconformist Andy refuses to use manim for twenty minutes in an attempt to explain one of his favourite math puzzles. What fun!

0:00 - Intro
3:23 - The Puzzle
5:00 - Simplification
7:40 - Invariants
11:40 - Proving The Invariant
16:14 - Solving The Puzzle
16:58 - Conclusion
19:33 - Credits

Here's the visualisation tool I whipped up for this video: https://cocoatwix.github.io/INTERNETCONNECTIVITYPORTAL/pages/mini/some3square/square.html

Errata:
- "essence" is misspelled.
- The example I show at 17:07 is physically impossible for a square. That said, there might be some interesting implications for having a quadrant carry negative area... I don't really know!

Let me know if you spot any other errors and I'll add them here!


"Jellyfish in Space" Kevin MacLeod (incompetech.com)
Licensed under Creative Commons: By Attribution 4.0 License
http://creativecommons.org/licenses/by/4.0/