Sequence Fractals Part II #4

266.jpg

z^2+c+s_i
si = a,-a,…; a = -0.72
Center: M1,1.00; Zoom = 1.2

Here is a look at M1,1.00 after increasing a to -0.72.

Named Points:
  2 fixed points
C1.00:   0.220000,  1.090871
C1.01:   0.220000, -1.090871
  6 two cycles
C2.00:  -0.296985,  0.457598
C2.01:  -0.296985, -0.457598
C2.02:   0.414851,  1.043195
C2.03:   0.414851, -1.043195
C2.04:   0.542134,  1.637485
C2.05:   0.542134, -1.637485
  4 1/1 preperiodic points
M1,1.00:  -0.157118,  0.079838
M1,1.01:  -0.157118, -0.079838
M1,1.02:   0.597118,  1.630356
M1,1.03:   0.597118, -1.630356
The real axis is slightly below the center of the picture. Also seen here, C2.00 near the top and M1,1.01, the reflection across the real axis.

Leave a Reply

Your email address will not be published. Required fields are marked *

This site uses Akismet to reduce spam. Learn how your comment data is processed.