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The inimitable James Grime is back showing us how to convert an equilateral triangle into a square - and more... Additional links & stuff in full description below ↓↓↓ While a fan of Dudeney, we'd like to shout-out Charles William McElroy who is likely the discoverer of this dissection... More James Grime on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWLNZRKWlcRmTABh_SExiiCj James Grime's own website with more details about his and his work - https://www.singingbanana.com/ (you can even book James to do one of this brilliant talks!) Squaring the Circle (featuring James) - https://youtu.be/CMP9a2J4Bqw James inspects a squaring the circle device on Objectivity - https://youtu.be/B4gzt8v401Q The paper discussed in this video - Dudeney's Dissection is Optimal - https://arxiv.org/abs/2412.03865 The Dehn Invariant - https://youtu.be/eYfpSAxGakI Patreon: http://www.patreon.com/numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We are also grateful for support from the Ben Delo Foundation - https://delo.org/ NUMBERPHILE Website: http://www.numberphile.com/ Video by Pete McPartlan and Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/numberphile Brady's videos subreddit: http://www.reddit.com/r/BradyHaran/ Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9