roots

 Inspired by the pictures above, Sam Derbyshire decided toto make a high resolution plot of some roots of polynomials.After some experimentation, he decided that his favoritewere polynomials whose coefficients were all 1 or -1 (not 0).He made a high-resolution plot by computing all the roots ofall polynomials of this sort having degree ≤ 24. That's [Math Processing Error]$2^{24}$ polynomials, and about [Math Processing Error]$24\times 2^{24}$roots — or about 400 million roots! It took Mathematica4 days to generate the coordinates of the roots, producingabout 5 gigabytes of data. He then used some Java programs tocreate this amazing image: