Pythagorean Triples (and Quadruples) Are Everywhere!

In this episode, I’ll show some cool ways “Pythagorean triples” are hiding all over geometry, and then discuss the underrated “Pythagorean quadruples”!

This episode about Pythagorean triples/quadruples is the first part of a 2-episode arc. Next episode (coming in a week) will continue this topic into Fermat's Last Theorem and beyond. I love you all, thanks for watching. Also make sure to check out my ‪@Domotro‬ channel if you want to see my bonus content like livestreams (and other links in this video description).

Leave a comment with your favorite animal cameo in this video (there's a squirrel carrying a nut, some cute cats, and some cool bird noises).

This was filmed by Carlo Trappenberg.
Special thanks to Evan Clark and to all of my Patreon supporters:
Max, George Carozzi, Peter Offut, Tybie Fitzhugh, Henry Spencer, Mitch Harding, YbabFlow, Joseph Rissler, Plenty W, Quinn Moyer, Julius 420, Philip Rogers, Ilmori Fajt, Brandon, August Taub, Ira Sanborn, Matthew Chudleigh, Cornelis Van Der Bent, Craig Butz, Mark S, Thorbjorn M H, Mathias Ermatinger, Edward Clarke, and Christopher Masto, Joshua S, Joost Doesberg, Adam, Chris Reisenbichler, Stan Seibert, Izeck, Beugul, OmegaRogue, Florian, William Hawkes, Michael Friemann, Claudio Fanelli, The Green Way, Julian Zassenhaus, Bailey Douglass, Jan Bosenberg, and Brooks Boutwell!
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To join that list of people supporting this channel, and get cool bonus content, check out the Combo Class Patreon at   / comboclass  
Supporting me there helps allow the channel to improve, and also helps prevent me from needing to put any sponsored ad segments within these episodes (I have turned down sponsorships from companies who would have paid me to advertise a product during these episodes).

If you want to mail me anything (such as any clocks/dice/etc. that you'd like to see in the background of Grade -2), here's my private mailbox address (not my home address). If you're going to send anything, please watch this short video first:    • You Can Now Mail Me Things to Put in ...  
Domotro
1442 A Walnut Street, Box # 401
Berkeley, CA 94709

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If you want to try to help with Combo Class in some way, or collaborate in some form, reach out at combouniversity(at)gmail(dot)com

In case people search any of these terms, some of the topics discussed in this episode are: Pythagorean triples, Pythagorean quadruples (and Pythagorean quintuples and beyond), the Pythagorean formula (a squared plus b squared equals c squared), right triangles, circles and spheres, squares and rectangles, gridpoints with integer coordinates on a coordinate plane, points on the unit circle with rational coordinates, other geometric analogies, and more. (There's also some cool cats and squirrels in this video haha).

DISCLAIMER: Do not copy any uses of fire, sharp items, or other dangerous tools or activities you may see in this series. These videos are for educational (and entertainment) purposes.