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 = -0.4
*a_imag = #pixel (horizontal)
*b_real = -0.4
*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

MandelbrotCityInNeon {
fractal:
title="Mandelbrot city in neon" width=640 height=480 layers=2
credits="Ingvar Kullberg;11/17/2006"
layer:
method=multipass caption="M-" opacity=100 mergemode=hardlight
mapping:
center=0.21583984375/0.84767578125 magn=11.0344827586206897
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=-0.4 p_aimag=0.0 p_breal=-0.4 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=2 transfer=linear
gradient:
smooth=yes index=0 color=9043968 index=69 color=3158085 index=150
color=14736366 index=302 color=675176
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=0.21583984375/0.84767578125 magn=11.0344827586206897
formula:
maxiter=5000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=-0.4 p_aimag=0.0 p_breal=-0.4 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=2 transfer=linear
gradient:
smooth=yes index=0 color=254 index=50 color=49150 index=100
color=65151 index=150 color=4193792 index=200 color=16711168
index=250 color=16662272 index=305 color=16646271 index=350
color=12517630 index=399 color=262398
opacity:
smooth=no index=0 opacity=255
}