What happens when you take a polynomial and keep changing its coefficients every frame?You get a resonant root field in the complex plane where clusters, arcs and outer flares form, dissolve, and reappear as the system evolves in time.

The Sum and Product of the Zeros of a Quadratic Polynomial Are − 1 2 and −3 Respectively. What is the Quadratic Polynomial. | Shaalaa.com

1.6: Polynomials and Rational Functions