---
title: Squaring the Triangle - Numberphile
link: https://www.youtube.com/watch?v=EgnAN0ZUl08
source: youtube-com-numberphile
published: 2026-10-25T14:44:43Z
updated: 2026-10-25T15:47:18Z
first_seen: 2026-10-25T17:48:06.311030418Z
authors:
- Numberphile
summary: "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 ↓↓↓\n\nWhile a fan of Dudeney, we'd like to shout-out Charles William McElroy who is likely the discoverer of this dissection... \n\nMore James Grime on Numberphile - https://www.youtube.com/playlist?list=PLt5AfwLFPxWLNZRKWlcRmTABh_SExiiCj\n\nJames 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!)\n\nSquaring the Circle (featuring James) - https://youtu.be/CMP9a2J4Bqw\n\nJames inspects a squaring the circle device on Objectivity - https://youtu.be/B4gzt8v401Q\n\nThe paper discussed in this video - Dudeney's Dissection is Optimal - https://arxiv.org/abs/2412.03865\n\nThe Dehn Invariant - https://youtu.be/eYfpSAxGakI\n\nPatreon: http://www.patreon.com/numberphile\n\nNumberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet\n\nWe are also grateful for support from the Ben Delo Foundation - https://delo.org/\n\nNUMBERPHILE\nWebsite: http://www.numberphile.com/\n\nVideo by Pete McPartlan and Brady Haran\n\nNumberphile T-Shirts and Merch: https://teespring.com/stores/numberphile\n\nBrady's videos subreddit: http://www.reddit.com/r/BradyHaran/\n\nBrady's latest videos across all channels: http://www.bradyharanblog.com/\n\nSign up for (occasional) emails: http://eepurl.com/YdjL9"
content: extracted
html: 2026-10-25-squaring-the-triangle-numberphile.html
remote_preview:
  url: https://i2.ytimg.com/vi/EgnAN0ZUl08/hqdefault.jpg
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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