Left: A circle with radius 5 and center at 0 as well as 18 points distributed equally on the circumference and beginning with the complex number z = 3 + 4·i (marked with green color). Right: Images by the polynomium P(z) = z³ – 15·z² + (57 + 48·i)·z + (33 – 56·i) of circle and points. The image curve passes through the origin because P(3 + 4·i) = 0, i. e. 3 + 4·i is a root of the polynomium.
Own work
AstroOgier