Video too long? Read the paper instead: https://drive.google.com/file/d/1iydE...

The Collatz Tree can be made with three tiles, and this has some interesting consequences

Help me pay me student debt (please...):   / highlyentropicmind  

For one time donations:

Buy me a coffee (best option): https://www.buymeacoffee.com/highlyentrc

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GitHub: https://github.com/Frigorifico9/Const...

Want to download the design of the tiles?: https://drive.google.com/drive/folder...

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Special thanks to all my patreons, but specially to:

OtiumOtiosum, Valerie Hyde, T Highfill, Ryan Roberts, Carlo Fazioli and Cookie_T and Azure Azalia

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Credits:

Script, Host, Filming, Directing, Necromancy, Editing, Production: Fernando Franco Félix

Animations and graphics: Oscar Flores and Fernando Franco Félix

The song used thoughout the video is "Song Of The Sirens" by Gaymaranda, and I paid her for the permission to use it:    • Song Of The Sirens  

Sources:

I purposefully did not use any

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Chapters:

00:00 - Intro to the Collatz Conjecture
05:46 - Analayzing the Tree
12:15 - Super Awesome Tiles
15:00 - Analyzing the tiles
17:49 - Infinite Stark nodes
23:46 - Lannister and Targaryen streaks
24:44 - Multi-streak drifting
27:34 - Collatz and chaos

28:26 - First ending of the video

28:56 - Infinite constellations
34:22 - Don't be a crakpot
37:07 - Scott Aaronson's guide to being wrong
40:31 - Cyclical constellations
42:46 - My open problem
43:21 - Negative cycles
45:59 - Conclusion

47:00 - Second ending of the video

47:24 - The Super Awesome Tree
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Attributions for graphical resources not stated in the video itself:

For the pciture of Lothar Collatz:

Author: Konrad Jacobs, used under ca-sa 2.0 Germany