Summary
Compare with
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
Summary
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
Xaos xpf file
;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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