Spider in the Web

Download for 1280x960 resolution

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 = 0.02

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

No filters or postprocessing except anti-aliasing (from 6400 x 4800).

Software: Ultra Fractal.
Color routine: Continuos Potential Method (CPM).
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 found at my Cubic Tutorial [link] and the "cubic" articles in my Chaotic series [link]

Below the parameter file. Play and have fun

SpiderInTheWeb {
fractal:
title="Spider in the Web" width=640 height=480 layers=1
credits="Ingvar Kullberg;11/14/2011"
layer:
caption="Layer 1" opacity=100 method=multipass
mapping:
center=0.54681480277899327585/0.16352154622217417085
magn=5.0028357E8
formula:
maxiter=25000 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=0.02 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:
density=2 transfer=linear filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=10.0
p_numfact=10.0 p_scale=1.0 p_smooth=no p_epsilon=0.5 p_illustr=no
p_limiton=no p_limit=0.1 p_index3=0.0 p_index1=0.99 p_index2=0.0
p_speed=0.5 p_acc=1.0 p_clog=yes p_power=3.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-197 index=26 color=1238527 index=84
color=529663 index=-286 color=1056541 index=174 color=2438102
index=-196 color=15332607 index=-159 color=922180 index=-111
color=16771578 index=-1 color=2445567
opacity:
smooth=no index=0 opacity=255
}