File:Julia set for fc(z) = z^2 - 0.110 + 0.6557i.png

• 
  Julia set using IIM/J and critical orbit
• 
  components, period = 4 ; C=0.281+0.533*i
• 
• 
  c=-0,123+0.745i
• 
  c=-0.12256116687665 +0.74486176661974*i; (center of period 3 component) and external rays
• 
  C=-0.12256 +0.74486*i; eLCM/J
• 
  c=-0.11+0.65569999*i ; MIIM
• 
  c=-0.11+0.65569999*i; mIIM/J
• 
  c = −0,123 + 0.745i; Quaternion julia set. The "Douady Rabbit" julia set is visible in the cross section
• 
  Douady rabbit in an exponential family

Run program dynamics. Choose process menu PROM and complex cubic map ( C). With parametrs :

rho, C3, C4

set to 0 and parameter C1=1 it gives complex quadratic map

z^2 + C5+C6*i

Change c values ( here c = C5+C6*i ) using commands

C5

then enter value and press enter.

C6

Change dynamic plane size ( z plane ) using commands :

XS

to -1.5 1.5 and

YS

Change number of iteration per pixel ( IPP ) to 3 ( the same as period ).

Change screen resolution to high ( RH).

Change maximum number of iterations (checks ) MC to 300.

Change number of colors and file size ( SIZE ) to 16 4000 4000.

Draw basin of attraction ( BA ).

Save output file type to ppm file ( GFM then PPM).

Convert using Image Magic to png file and resize :

convert c.ppm -resize 2000x2000 c.png

;Position file automatically generated by XaoS 3.5
;  - a realtime interactive fractal zoomer
;Use xaos -load <filename> to display it
(initstate)
(palette 1 1191063399 0)
(formula 'mandel)
(juliaseed -0.11 0.6557)
(maxiter 1388)
(julia #t)
(view -0.1986 0.01201 2.757 2.757)

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