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 = #pixel (horizontal))
*b_real = #pixel (vertical)
*b_imag = 1.1

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 NOTE, it's very interesting do perform succesive out zooms from this motive. So shift drag down

MandelbrotInLotuspond2 {
fractal:
title="Mandelbrot in lotuspond2" width=640 height=480 layers=2
credits="Ingvar Kullberg;2/22/2007"
layer:
method=multipass caption="M-" opacity=50
mapping:
center=-0.0650485292286650464/-8.08227467950619762E-5
magn=434597.691572522671
formula:
maxiter=100000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="4.(a-imag,b-real)" p_M=M- p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.0 p_breal=0.0 p_bimag=1.1 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=0 color=9043968 index=69 color=3158085 index=169
color=16769274 index=287 color=20735
opacity:
smooth=no index=0 opacity=255
layer:
method=multipass caption="M+" opacity=100
mapping:
center=-0.0650485292286650464/-8.08227467950619762E-5
magn=434597.691572522671
formula:
maxiter=100000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="4.(a-imag,b-real)" p_M=M+ p_SetBorders=no p_hide=yes
p_areal=0.0 p_aimag=0.0 p_breal=0.0 p_bimag=1.1 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=0 color=9043968 index=69 color=3158085 index=169
color=16769274 index=287 color=20735
opacity:
smooth=no index=0 opacity=255
}