HOME | DD

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 = 0.05
*a_imag = #pixel (horizontal))
*b_real = 0.05
*b_imag = #pixel (vertical)

Both M+ and M- plotted in separate layers.

No filters or postprocessing except anti-aliasing (from 6400 x 4800).

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

PatternsOfLoveAtEvening {
fractal:
title="Patterns of Love at Evening" width=640 height=480 layers=2
credits="Ingvar Kullberg;1/28/2007"
layer:
method=multipass caption="M-" opacity=85 mergemode=blue
mapping:
center=0.385314527681613423/1.18053798998450409
magn=363.531866705621306
formula:
maxiter=50000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="5.(a-imag,b-imag)"
p_M=M- p_SetBorders=no p_hide=yes p_areal=0.05 p_aimag=0.0
p_breal=0.05 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=4 transfer=linear
gradient:
smooth=yes index=33 color=127 index=83 color=16638 index=133
color=65535 index=134 color=327679 index=183 color=12582910
index=228 color=16711551 index=283 color=16695296 index=333
color=16646144 index=383 color=4128768
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.385314527681613423/1.18053798998450409
magn=363.531866705621306
formula:
maxiter=50000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="5.(a-imag,b-imag)"
p_M=M+ p_SetBorders=no p_hide=yes p_areal=0.05 p_aimag=0.0
p_breal=0.05 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=4 transfer=linear
gradient:
smooth=yes index=9 color=327680 index=40 color=15794175 index=52
color=655360 index=107 color=16769274 index=187 color=2445567
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 = 0.05
*a_imag = #pixel (horizontal))
*b_real = 0.05
*b_imag = #pixel (vertical)

Both M+ and M- plotted in separate layers.

No filters or postprocessing except anti-aliasing (from 6400 x 4800).

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

PatternsOfLoveAtEvening {
fractal:
title="Patterns of Love at Evening" width=640 height=480 layers=2
credits="Ingvar Kullberg;1/28/2007"
layer:
method=multipass caption="M-" opacity=85 mergemode=blue
mapping:
center=0.385314527681613423/1.18053798998450409
magn=363.531866705621306
formula:
maxiter=50000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="5.(a-imag,b-imag)"
p_M=M- p_SetBorders=no p_hide=yes p_areal=0.05 p_aimag=0.0
p_breal=0.05 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=4 transfer=linear
gradient:
smooth=yes index=33 color=127 index=83 color=16638 index=133
color=65535 index=134 color=327679 index=183 color=12582910
index=228 color=16711551 index=283 color=16695296 index=333
color=16646144 index=383 color=4128768
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.385314527681613423/1.18053798998450409
magn=363.531866705621306
formula:
maxiter=50000 percheck=off filename="sp3.ufm"
entry="CubicParameterspace3" p_PlottedPlane="5.(a-imag,b-imag)"
p_M=M+ p_SetBorders=no p_hide=yes p_areal=0.05 p_aimag=0.0
p_breal=0.05 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=4 transfer=linear
gradient:
smooth=yes index=9 color=327680 index=40 color=15794175 index=52
color=655360 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}