TITLE: Does "Algebraic numbers coloured by degree" form a fractal?
QUESTION [15 upvotes]: This picture from Wikipedia's article on Algebraic numbers shows a visualization of Algebraic numbers coloured by degree.
I'm wondering if this is a fractal?

REPLY [4 votes]: If you consider the set of roots of polynomials whose coefficients are entirely $1$ or $-1$, and take the topological closure of that set, you get a fractal pattern closely related to the Dragon curve.
see: http://math.ucr.edu/home/baez/roots/beauty.pdf