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Description
Magnification in a 2D-slice of the four dimensional cubic parameter space using the standard parameterizing z -> z^3 - 3a^2 z + b, critical points z = +a (making the set M+) and z = -a (making the set M-).

*a_real = 0
*a_imag = 0.32
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

M+ and M- are plotted in separate layers

No filters or postprocessing except anti-aliasing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from [link]

More info about Cubics can be found at my Cubic Tutorial [link] and the
"cubic" articles in my Chaotic series [link]

Below the parameter file. Play and have fun

Shy {
fractal:
title="Shy" width=640 height=480 layers=2
credits="Ingvar Kullberg;10/29/2006"
layer:
caption="M-" opacity=40 mergemode=luminance method=multipass
mapping:
center=0/1.252155459265 magn=201.64205
formula:
maxiter=5000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="6.(b-real,b-imag)"
p_M=M- p_SetBorders=no p_hide=yes p_areal=0.0 p_aimag=0.32
p_breal=0.0 p_bimag=0.0 p_xrot=0.0 p_yrot=0.0 p_xrott=0.0
p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0
p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear
gradient:
smooth=yes index=9 color=327680 index=54 color=15990783 index=133
color=0 index=148 color=15917306 index=165 color=196863
opacity:
smooth=no index=0 opacity=255
layer:
caption="M+" opacity=100 method=multipass
mapping:
center=0/1.252155459265 magn=201.64205
formula:
maxiter=5000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="6.(b-real,b-imag)"
p_M=M+ p_SetBorders=no p_hide=yes p_areal=0.0 p_aimag=0.32
p_breal=0.0 p_bimag=0.0 p_xrot=0.0 p_yrot=0.0 p_xrott=0.0
p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0
p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear
gradient:
smooth=yes rotation=73 index=52 color=3080235 index=127
color=15990783 index=206 color=0 index=221 color=15917306 index=238
color=196863
opacity:
smooth=no index=0 opacity=255
}

Description
Magnification in a 2D-slice of the four dimensional cubic parameter space using the standard parameterizing z -> z^3 - 3a^2 z + b, critical points z = +a (making the set M+) and z = -a (making the set M-).

*a_real = 0
*a_imag = 0.32
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

M+ and M- are plotted in separate layers

No filters or postprocessing except anti-aliasing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from [link]

More info about Cubics can be found at my Cubic Tutorial [link] and the
"cubic" articles in my Chaotic series [link]

Below the parameter file. Play and have fun

Shy {
fractal:
title="Shy" width=640 height=480 layers=2
credits="Ingvar Kullberg;10/29/2006"
layer:
caption="M-" opacity=40 mergemode=luminance method=multipass
mapping:
center=0/1.252155459265 magn=201.64205
formula:
maxiter=5000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="6.(b-real,b-imag)"
p_M=M- p_SetBorders=no p_hide=yes p_areal=0.0 p_aimag=0.32
p_breal=0.0 p_bimag=0.0 p_xrot=0.0 p_yrot=0.0 p_xrott=0.0
p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0
p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear
gradient:
smooth=yes index=9 color=327680 index=54 color=15990783 index=133
color=0 index=148 color=15917306 index=165 color=196863
opacity:
smooth=no index=0 opacity=255
layer:
caption="M+" opacity=100 method=multipass
mapping:
center=0/1.252155459265 magn=201.64205
formula:
maxiter=5000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="6.(b-real,b-imag)"
p_M=M+ p_SetBorders=no p_hide=yes p_areal=0.0 p_aimag=0.32
p_breal=0.0 p_bimag=0.0 p_xrot=0.0 p_yrot=0.0 p_xrott=0.0
p_yrott=0.0 p_zrot=0.0 p_LocalRot=no p_diff=no p_bailout=100.0
p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear
gradient:
smooth=yes rotation=73 index=52 color=3080235 index=127
color=15990783 index=206 color=0 index=221 color=15917306 index=238
color=196863
opacity:
smooth=no index=0 opacity=255
}