  A "Littlewood polynomial" is a polynomial whose coefficients are all 1 or -1.
The set of all complex roots of all Littlewood polynomials exhibits many
complicated, beautiful and fascinating patterns. Some fractal regions of this
set closely resemble "dragon sets" formed by iterated function systems. A
heuristic argument for this is known, but no precise theorem along these lines
has been proved. We invite the reader to try.
