Abstract Algebra is Absolutely Nuts

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Today we'll uncover hidden patterns in a classic game of rock, paper and scissors and turn it into a fantastic Group theory exercise. We'll talk automorphisms and cyclic groups, Bijections and homomorphisms. Enjoy! =D

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0:00 Intro
0:24 Recap
1:55 Directed Graph
4:37 Homomorphism proof
10:07 Bijection proven
17:25 Automorphisms and their geometric properties
26:06 Automorphism Group and the Cyclic Nature