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#OC #math #geometry Pick a number N, and plot all primitive Nth roots of unity (There are Phi(N) of them). These are the roots of the Nth cyclotomic polynomial.
Fun facts:
1. Primes are shown in red. Note Phi(p) is p-1 for all primes p.
2. If Phi(N) is a power of 2 (shown in blue) then those roots are constructible with compass and straightedge.
https://imgur.com/gallery/YdrNuJ8
@birdman And this explains why "cyclotomic" means "circle-dividing".