A Method to Solve the Limitations in Drawing External Rays of the Mandelbrot Set

Figure 8

Successive magnifications for locating the double-spiral medallion centred at −0.16111880+1.03632203i (the medallion is marked by the arrow). (a) The parent (0.𝑝₁,0.𝑝₂)=(0.0011,0.0100) in the wake of the gene (0.𝑔₁,0.𝑔₂)=(0.001,0.010). (b) The period-4 parent. (c) The valley between the period-(2×4) disc of the parent and the cardioid of the parent. (d) The medallion.

(a)

(b)

(c)

(d)