Goldfinger by FractalMonster on DeviantArt (original) (raw)

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 = 0.38
*a_imag = #pixel (horizontal)
*b_real = 0
*b_imag = #pixel (vertical)

Only M- is displayed.

Some sections of the arm are black, other having fine structures are colored This is not due to any spectacular filter or post processing but to the pure mathematical terrain in this section, the black denotes solid parts of the set M-

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

Goldfinger2 {
fractal:
title="Goldfinger2" width=640 height=480 layers=1
credits="Ingvar Kullberg;9/26/2007"
layer:
method=multipass caption="M-" opacity=100
mapping:
center=0.16508632219521/0.764374363832455 magn=5257.9086
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=0.38 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:
density=4 transfer=arctan
gradient:
smooth=yes rotation=87 index=22 color=1535 index=62 color=0
index=104 color=11204857 index=172 color=1091583 index=271 color=27
index=301 color=3
opacity:
smooth=no index=0 opacity=255
}