Bright Simple Spirals

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 and z = -a

*a_real = 0.4
*a_imag = #pixel (horizontal)
*b_real = 0
*b_imag = #pixel (vertical)

Only M- is displayed, the motive is fully outside M+.

Motives from slices other than (a_real, a_imag) or (b_real, b_imag) are often more or less tilted. No filters or postprocessing except anti-aliasing (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]

Below the parameter file. Play and have fun

BrightSimpleSpirals {
fractal:
title="Bright Simple Spirals" width=640 height=480 layers=1
credits="Ingvar Kullberg;8/30/2007"
layer:
method=multipass caption="M-" opacity=100
mapping:
center=-0.357253814888000488/0.976425195407867431
magn=738641.870949563258
formula:
maxiter=25000 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=0.0 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=33 color=127 index=83 color=16638 index=133
color=65535 index=134 color=327679 index=183 color=12582910
index=228 color=16711551 index=294 color=15032320 index=328
color=12910592 index=383 color=4128768
opacity:
smooth=no index=0 opacity=255
}