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?
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? 


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. 


The algebraic numbers are countable hence $\dim_{H}A=0$ for each subset. But one defines a fractal by nonintger Hausdorff dimenson. 

