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Interactive video lesson plan for: Euler's formula with introductory group theory

Activity overview:

How some perspectives from group theory shed light on a way the formula e^(pi i) = -1 can make intuitive sense.

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There's a slight mistake at 13:33, where the angle should be arctan(1/2) = 26.565 degrees, not 30 degrees. Arg! If anyone asks, I was just...er...rounding to the nearest 10's.

For those looking to read more into group theory, I'm a fan of Keith Conrads expository papers: http://www.math.uconn.edu/~kconrad/blurbs/

Special thanks to the following Patreon supporters:
Ali Yahya, Meshal Alshammari, CrypticSwarm , Justin Helps, Ankit Agarwal, Yu Jun, Shelby Doolittle, Dave Nicponski, Damion Kistler, Juan Benet, Othman Alikhan, Markus Persson, Dan Buchoff, Derek Dai, Joseph John Cox, Luc Ritchie, Nils Schneider, Mathew Bramson, Guido Gambardella, Jerry Ling, Mark Govea, Vecht, Shimin Kuang, Rish Kundalia, Achille Brighton, Kirk Werklund, Ripta Pasay, Felipe Diniz, Soufiane KHIAT, dim85, Chris, Jim Mussared, Gabriel Cunha, Pedro F Pardo, Loro Lukic, David Wyrick, Rahul Suresh, Lee Burnette, John C. Vesey, Patrik Agné, Alvin Khaled, ScienceVR, Chris Willis, Michael Rabadi, Alexander Juda, Mads Elvheim, Joseph Cutler, Curtis Mitchell, Myles Buckley, Andy Petsch, Otavio Good, Viesulas Sliupas, Steffen Persch, Brendan Shah, Andrew Mcnab, Matt Parlmer, Dan Davison, Jose Oscar Mur-Miranda, aidan boneham, Henry Reich, Sean Bibby, Paul Constantine, Justin Clark, Mohannad Elhamod, Ben Granger, Jeffrey Herman.

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Tagged under: pi , pi times ,^(pi ),^pi ,group theory,euler' formula,3b1b, blue brown,3 blue 1 brown,mathematics,math

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