Left: Three circles with radii 4, 5 and 6 and center 0 as well as 18 points distributed equally on the circumference of the middle circle 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 circles and points. The image of the circle with radius 5 passes through the origin, because P(3 + 4·i ) = 0.
Own work
AstroOgier