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Patterns of Collatz

D cubed & J 4,414 2 years ago
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The rules of the Collatz conjecture are simple, yet it remains unsolved since its creation in 1937. This video will not attempt to prove or disprove the conjecture but will analyse the patterns and visualisations that arise from its properties. #Collatz #SoME3 Some of the math animations used in this video was created using Manim - https://www.manim.community/ ------------------------------------------ References: ------------------------------------------ https://www.youtube.com/watch?v=094y1Z2wpJg https://www.youtube.com/watch?v=5mFpVDpKX70 https://www.youtube.com/watch?v=LqKpkdRRLZw https://en.wikipedia.org/wiki/Collatz_conjecture https://mathworld.wolfram.com/CollatzProblem.html https://www.dcode.fr/collatz-conjecture ------------------------------------------ ------------------------------------------ Music used in this video: ------------------------------------------ Daystar - Shangri-La: https://youtu.be/-J-ey1JZjUE (free to use music by https://www.youtube.com/@starryattic) Bensound - Enigmatic: https://www.youtube.com/watch?v=DHD0TesReqo (free to use music by Bensound.com) ------------------------------------------ Way Home "Tokyo Music Walker - Way Home" is under a Creative Commons (CC-BY) license. https://www.youtube.com/channel/UC3lLfvhpPGtwd5qD25cMDcA Music promoted by BreakingCopyright: https://bit.ly/way-home-song ------------------------------------------ butter by LukremBo: https://www.youtube.com/watch?v=Ua7Qfc1xu90 onion by LukremBo: https://www.youtube.com/watch?v=KGQNrzqrGqw Free to use music music by https://freetousemusic.com ------------------------------------------ 失望した by EVA https://joshlis.bandcamp.com Promoted by @RoyaltyFreePlanet - https://royaltyfreeplanet.com Creative Commons Attribution 3.0 http://bit.ly/RFP_CClicense ------------------------------------------

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