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Description
Download for 1280x960 resolution

Back to Cubics for a while

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 = -0.4055
*a_imag = -0.1135
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

The parameters are borrowed from the Default parameters of the Mandelbrot Cubic (K Plane) of Rudy Rucker .

Both M+ and M- are visible due to the techique of SetBorders, see article 19b in my Chaotic series .

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]

RudyLaughingDragon {
fractal:
title="RudyLaughingDragon" width=640 height=480 layers=1
credits="Ingvar Kullberg;6/10/2010"
layer:
caption="CCL+SetBorders" opacity=100 method=multipass
mapping:
center=0.119609375305/0.861171875105 magn=7.3087172
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=-0.4055 p_aimag=-0.1135 p_breal=0.0 p_bimag=0.0
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=4 transfer=arctan filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=1.0
p_numfact=1.0 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=2.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-67 index=33 color=16121855 index=133
color=46591 index=233 color=156 index=-67 color=8716288
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1280x960 resolution

Back to Cubics for a while

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 = -0.4055
*a_imag = -0.1135
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

The parameters are borrowed from the Default parameters of the Mandelbrot Cubic (K Plane) of Rudy Rucker .

Both M+ and M- are visible due to the techique of SetBorders, see article 19b in my Chaotic series .

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]

RudyLaughingDragon {
fractal:
title="RudyLaughingDragon" width=640 height=480 layers=1
credits="Ingvar Kullberg;6/10/2010"
layer:
caption="CCL+SetBorders" opacity=100 method=multipass
mapping:
center=0.119609375305/0.861171875105 magn=7.3087172
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=-0.4055 p_aimag=-0.1135 p_breal=0.0 p_bimag=0.0
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=4 transfer=arctan filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=1.0
p_numfact=1.0 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=2.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-67 index=33 color=16121855 index=133
color=46591 index=233 color=156 index=-67 color=8716288
opacity:
smooth=no index=0 opacity=255
}