Left: Three circles with radii 0.75, 1 and 1.25 and center 0 as well as 18 points distributed equally on the circumference of the middle circle and beginning with the complex number z = 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 1 passes through the origin, because P(i) = 0. The image curves are close to be circles with their center at the constant term of the polynomium, 33 – 56·i.
Own work
AstroOgier