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Description
Take a polynomial a0+a1X+...+anXn, with all its coefficients ap in an integer range [-k,k]. Then, plot the (complex) roots for that polynomial, and get another polynomial. Repeat the process once more, and again and again.

Having chosen n=30 and k=5, whilst considering 1,000,000 random polynomials will make this drawing (I have removed the real roots, as they were lining in the middle with no holes).

See a higher quality version !

Description
Take a polynomial a0+a1X+...+anXn, with all its coefficients ap in an integer range [-k,k]. Then, plot the (complex) roots for that polynomial, and get another polynomial. Repeat the process once more, and again and again.

Having chosen n=30 and k=5, whilst considering 1,000,000 random polynomials will make this drawing (I have removed the real roots, as they were lining in the middle with no holes).

See a higher quality version !