Complex Roots

(code) – The pictures at the bottom are histograms of the roots of polynomials. The degree of the polynomial is usually 18 and the coefficients are either c_i \in \{ \pm 1 \} or c_i \in \{ 1,i \}. The video shows what happens if you continuously vary the coefficients. This work was inspired by the visualization of Paul Nylander using Mathematica. I wanted to see what kind of results I could get with open source alternatives. In the future I hope to find more roots and also graph some complex functions and iterated complex functions.