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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 and z = -a

*a_real = 0.38
*a_imag = #pixel (horizontal)
*b_real = 0
*b_imag = #pixel (vertical)

Both M+ and M- are displayed, one in each layer.

Motives from slices other than (a_real, a_imag) or (b_real, b_imag) are often more or less tilted. No filters or post processing except anti-aliasing (from 6400 x 4800), and a little sharpening.

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 here.

Below the parametr file. Play and have fun

DragonChannel2 {
fractal:
title="Dragon Channel2" width=640 height=480 layers=2
credits="Ingvar Kullberg;10/21/2006"
layer:
method=multipass caption="M-" opacity=50
mapping:
center=0.146855353133512398/0.776984608555982888
magn=64.2785403414797456
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.38 p_aimag=0.0 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:
transfer=linear
gradient:
smooth=yes index=0 color=9043968 index=41 color=3485765 index=63
color=15393018 index=287 color=20735
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.146855353133512398/0.776984608555982888
magn=64.2785403414797456
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.38 p_aimag=0.0 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:
transfer=linear
gradient:
smooth=yes index=32 color=170 index=111 color=8716288 index=193
color=16777205 index=237 color=46544 index=307 color=19061 index=335
color=13303807 index=370 color=9437184
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 and z = -a

*a_real = 0.38
*a_imag = #pixel (horizontal)
*b_real = 0
*b_imag = #pixel (vertical)

Both M+ and M- are displayed, one in each layer.

Motives from slices other than (a_real, a_imag) or (b_real, b_imag) are often more or less tilted. No filters or post processing except anti-aliasing (from 6400 x 4800), and a little sharpening.

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 here.

Below the parametr file. Play and have fun

DragonChannel2 {
fractal:
title="Dragon Channel2" width=640 height=480 layers=2
credits="Ingvar Kullberg;10/21/2006"
layer:
method=multipass caption="M-" opacity=50
mapping:
center=0.146855353133512398/0.776984608555982888
magn=64.2785403414797456
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.38 p_aimag=0.0 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:
transfer=linear
gradient:
smooth=yes index=0 color=9043968 index=41 color=3485765 index=63
color=15393018 index=287 color=20735
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.146855353133512398/0.776984608555982888
magn=64.2785403414797456
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.38 p_aimag=0.0 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:
transfer=linear
gradient:
smooth=yes index=32 color=170 index=111 color=8716288 index=193
color=16777205 index=237 color=46544 index=307 color=19061 index=335
color=13303807 index=370 color=9437184
opacity:
smooth=no index=0 opacity=255
}