Sequence Fractals Part II #14
$ z^2+c+s_i$
si = a,-a,…; a = -0.717
Center: M1,1.00; Zoom = 10
Another 0.001 increase in the value of a. The zoom factor is 1/12 of the similar picture for a = -0.718. Sequence Fractals Part II #11. The self-similarity makes it hard to eyeball the zoom. At the same zoom as the other image, you cannot see the blue and orange swirlies.
Named Points:
2 fixed points
C1.00: 0.217000, 1.088118
C1.01: 0.217000, -1.088118
6 two cycles
C2.00: -0.301061, 0.453422
C2.01: -0.301061, -0.453422
C2.02: 0.412829, 1.040308
C2.03: 0.412829, -1.040308
C2.04: 0.539231, 1.635462
C2.05: 0.539231, -1.635462
4 1/1 preperiodic points
M1,1.00: -0.160367, 0.037868
M1,1.01: -0.160367, -0.037866
M1,1.02: 0.594367, 1.628305
M1,1.03: 0.594367, -1.628305Notice the transition between white and colors about a quarter of the way down from the top. Does it almost look like a section of the surface of the Mandelbrot set?