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Description
Download for 1280x960 resolution

This is an in-zoom in the earlier deviation Alien Jungle. 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 = 0.005
*a_imag = #pixel (horizontal before being rotated 45 degrees clockwise)
*b_real = #pixel (vertical before being rotated 45 degrees clockwise)
*b_imag = 0.005

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 postprocessing except anti-aliasing (from 6400 x 4800).

Software: Ultra Fractal.
Color routine: Continuos Potential Method (CPM).
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 and the "cubic" articles in my Chaotic series.

Below the parameter file. Play and have fun

AboveAndBelowTheSeaLevel {
fractal:
title="Above and Below the Sea Level" width=640 height=480 layers=1
credits="Ingvar Kullberg;11/22/2011"
layer:
caption="Layer 1" opacity=100 method=multipass
mapping:
center=0.5262907033755/0.14782223357 magn=114.61756 angle=45
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="4.(a-imag,b-real)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=0.005 p_aimag=0.0 p_breal=0.0 p_bimag=0.005
p_xrot=0 p_yrot=0 p_xrott=0 p_yrott=0 p_zrot=0 p_LocalRot=no
p_diff=no p_bailout=100 p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=10.0
p_numfact=10.0 p_scale=1.0 p_smooth=no p_epsilon=0.5 p_illustr=no
p_limiton=no p_limit=0.1 p_index3=0.0 p_index1=0.99 p_index2=0.0
p_speed=0.5 p_acc=1.0 p_clog=yes p_power=3.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-109 index=44 color=329215 index=102
color=15335546 index=171 color=32 index=-107 color=17749 index=-80
color=62723 index=-35 color=1910293 index=-6 color=65530
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1280x960 resolution

This is an in-zoom in the earlier deviation Alien Jungle. 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 = 0.005
*a_imag = #pixel (horizontal before being rotated 45 degrees clockwise)
*b_real = #pixel (vertical before being rotated 45 degrees clockwise)
*b_imag = 0.005

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 postprocessing except anti-aliasing (from 6400 x 4800).

Software: Ultra Fractal.
Color routine: Continuos Potential Method (CPM).
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 and the "cubic" articles in my Chaotic series.

Below the parameter file. Play and have fun

AboveAndBelowTheSeaLevel {
fractal:
title="Above and Below the Sea Level" width=640 height=480 layers=1
credits="Ingvar Kullberg;11/22/2011"
layer:
caption="Layer 1" opacity=100 method=multipass
mapping:
center=0.5262907033755/0.14782223357 magn=114.61756 angle=45
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="4.(a-imag,b-real)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=0.005 p_aimag=0.0 p_breal=0.0 p_bimag=0.005
p_xrot=0 p_yrot=0 p_xrott=0 p_yrott=0 p_zrot=0 p_LocalRot=no
p_diff=no p_bailout=100 p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=10.0
p_numfact=10.0 p_scale=1.0 p_smooth=no p_epsilon=0.5 p_illustr=no
p_limiton=no p_limit=0.1 p_index3=0.0 p_index1=0.99 p_index2=0.0
p_speed=0.5 p_acc=1.0 p_clog=yes p_power=3.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-109 index=44 color=329215 index=102
color=15335546 index=171 color=32 index=-107 color=17749 index=-80
color=62723 index=-35 color=1910293 index=-6 color=65530
opacity:
smooth=no index=0 opacity=255
}