Sequence Fractals Part III #24

$ z^2+c+s_i$
s₀=0.1, s_i+1=(0.6+0.8i)*s_i
Center:0+0i; Zoom = 0.5

The multiplier is based on the 3-4-5 Pythagorean triple. Note that the absolute value of the multiplier is 1. So, for all i, |s_i| = |s₀| = 0.1.

The angle is an irrational angle (cos^-1(0.8)). The sequence moves around a circle (radius = 0.1), without repeating any point, at approximately 53° each steps.