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 = 0.7465
*b_real = #pixel (horizontal)
*b_imag = #pixel (vertical)

Only M- is plotted, the motive is entirely inside M+.

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

RedMandyFlower {
fractal:
title="Red MandyFlower" width=640 height=480 layers=1
credits="Ingvar Kullberg;4/11/2007"
layer:
method=multipass caption="Background" opacity=100
mapping:
center=0.0017634789247735562/0.232436982422084175 magn=1073360000
formula:
maxiter=100000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="6.(b-real,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.7465 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=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
}