Sequence Fractals Part II #14

280.jpg

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, -1.628305

Notice 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?

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