Sequence Fractals Part II #18

$ z^2+c+s_i$
si = a,-a,…; a = -0.716
Center: M1,1.00; Zoom = 1

Another small, 0.001 increase for a to -0.716, and we have colliding M points. Boom an explosion of white.

Named Points:
 2 fixed points
C1.00:   0.216000,  1.087198
C1.01:   0.216000, -1.087198
  6 two cycles
C2.00:  -0.302421,  0.452026
C2.01:  -0.302421, -0.452026
C2.02:   0.412158,  1.039344
C2.03:   0.412158, -1.039344
C2.04:   0.538264,  1.634787
C2.05:   0.538264, -1.634787
  4 1/1 preperiodic points
M1,1.00:  -0.176018,  0.000000
M1,1.01:  -0.146881, -0.000000
M1,1.02:   0.593450,  1.627621
M1,1.03:   0.593450, -1.627621

Notice what happened to the M1,1 points. M1,1.00 and M1,1.01 are no longer a conjugate pair. Now both lie on the real axis. If you imagine a as time you can picture the M1,1 points moving as a increases. They have been moving nearly vertically down and up towards each other. Sometime between the last frame and this one, they collided and are now moving away from each other along the real axis.