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Description
Download for 1280x960 resolution

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 = #pixel (horizontal)
*b_real = #pixel (vertical)
*b_imag = 0.6

Note: This motive is a one layer image drawn due to CCL + SetBorders visualizing both sets in one layer. More about drawing images of cubic parameter space with respect to CCL (Cubic Connectedness Locus) and the use of SetBorders, see the article [link] in my Chaotic series [link] .

No filters or post processing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, 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

FromNoiseToOrder {
fractal:
title="From Noise to Order" width=640 height=480 layers=1
credits="Ingvar Kullberg;9/23/2009"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.817451171875/0 magn=213.333333333333333
formula:
maxiter=10000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="4.(a-imag,b-real)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0.0 p_bimag=0.6
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:
transfer=linear
gradient:
smooth=yes rotation=34 index=36 color=2564136 index=61
color=16769018 index=95 color=1906704 index=114 color=10495
index=206 color=16252927
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1280x960 resolution

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 = #pixel (horizontal)
*b_real = #pixel (vertical)
*b_imag = 0.6

Note: This motive is a one layer image drawn due to CCL + SetBorders visualizing both sets in one layer. More about drawing images of cubic parameter space with respect to CCL (Cubic Connectedness Locus) and the use of SetBorders, see the article [link] in my Chaotic series [link] .

No filters or post processing.

Ultra Fractal, formula Cubic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, 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

FromNoiseToOrder {
fractal:
title="From Noise to Order" width=640 height=480 layers=1
credits="Ingvar Kullberg;9/23/2009"
layer:
caption="Background" opacity=100 method=multipass
mapping:
center=0.817451171875/0 magn=213.333333333333333
formula:
maxiter=10000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="4.(a-imag,b-real)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0.0 p_bimag=0.6
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:
transfer=linear
gradient:
smooth=yes rotation=34 index=36 color=2564136 index=61
color=16769018 index=95 color=1906704 index=114 color=10495
index=206 color=16252927
opacity:
smooth=no index=0 opacity=255
}