To get the complex numbers, you take the real numbers and throw in a new number i that squares to -1. But other alternatives are also interesting! Different choices are connected to geometry in different ways. (1/n)pic.twitter.com/BdV8i14wmr
PhD student of Theoretical Particle Physics @UCIrvine l @NSF Fellow l Physics & Math Animations l Patreon: https://www.patreon.com/inertialobserver …
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To get the complex numbers, you take the real numbers and throw in a new number i that squares to -1. But other alternatives are also interesting! Different choices are connected to geometry in different ways. (1/n)pic.twitter.com/BdV8i14wmr
Too many words for my brain. We need the mighty @InertialObservr to animate this 

I would have made animated gifs if I could. The words create pictures in my brain. Take the reals and throw in a number i that squares to q. Graph the real part of exp(ix) with x real. As q varies from -1 to 1, this morphs from cos x to cosh x. (1/n)
John, why do you say you can't make animations (GIFs)? i believe you could, so is it just a matter of volition? With all your insight i am sure they would be amazing!
I was able to create this tweet in about an hour; I think explaining it all using gifs would take me much longer. That's why in my Visual Insight blog I had friends create images and gifs: https://blogs.ams.org/visualinsight/ I think that's the best solution.
it’s extremely fun to make animations and on some level I have become obsessed with it .. for these reasons I think your decision is wise
you should team up with john!
haha I’m a bit busy at the moment, and I’m sure John has no more free time than me .. and I think we both like being creative in our own independent ways
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