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 = 0.905
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

Both M+ and M- plotted in separate layers.

No filters or post processing except resizing (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 foud at my Cubic Tutorial [link] and the "cubic" articles in my Chaotic series [link]

Below the parameter file. Play and have fun

BirthOfAMandy {
fractal:
title="Birth of a Mandy" width=640 height=480 layers=2
credits="Ingvar Kullberg;4/4/2007"
layer:
method=multipass caption="M-" opacity=100 mergemode=difference
mapping:
center=0/0.00717934744698660716 magn=737
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0 p_aimag=0.905 p_breal=0 p_bimag=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:
transfer=linear
gradient:
smooth=no index=8 color=5899552 index=69 color=39653 index=150
color=65535 index=319 color=12528
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0/0.00717934744698660716 magn=737
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0 p_aimag=0.905 p_breal=0 p_bimag=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:
transfer=linear
gradient:
smooth=yes index=2 color=8716288 index=84 color=16777205 index=128
color=46544 index=180 color=21760 index=235 color=53306 index=259
color=57413 index=323 color=170
opacity:
smooth=no index=0 opacity=255
}