I ran across the Wikipedia article on Littlewood polynomials. It has a plot of all the roots of the degree 15 polynomials, that looks very nice. I thought I would create an animation showing the roots for degree 1, degree 2, etc. I also thought maybe I'd add a plot of the roots for something with degree higher than 15. Here is the degree 16 plot (this is reduced to 25% of the original image). It took 2 hours in Sage on my laptop, so I might try 17, even 18 - who knows? I have the thought that I ought to be able to reduce the precision, and this ought to speed things up a lot (since for plotting much lower precision than the default is needed). I don't particularly like blue, though: I'll have to try other colors.
https://en.wikipedia.org/wiki/Littlewood_polynomial
#mathematics #littlewood #littlewoodPolynomials #polynomials #plotting #sagemath #graphics #illustration