FractalMonster on DeviantArthttp://creativecommons.org/licenses/by-nc-sa/3.0/https://www.deviantart.com/fractalmonster/art/The-Way-to-Shangri-La-41651371FractalMonster

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The Way to Shangri La

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Description

Updated to 1960x1470 resolution when downloaded

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 = #pixel (horizontal)
*a_imag = 0.1
*b_real = 0.2
*b_imag = #pixel (vertical)

M- plotted (the motive entirely inside M+).

Motives from slices other than (a_real, a_imag) or (b_real, b_imag) are ofen more or less tilted. No filters or postprocessing except anti-aliasing (from 6400 x 4800) and a little sharpening.

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 here.

Below the parameter file. Play and have fun :)

EndlessWay {
fractal:
  title="Endless Way" width=800 height=600 layers=1
  credits="Ingvar Kullberg;7/16/2017"
layer:
  caption="M-" opacity=100 method=multipass
mapping:
  center=0.548854852583106226/0.729631918717043753
  magn=129.743789599767049
formula:
  maxiter=10000 filename="sp3.ufm" entry="CubicParameterspace3"
  p_PlottedPlane="3.(a-real,b-imag)" p_M=M- p_SetBorders=no p_hide=yes
  p_areal=0.0 p_aimag=0.1 p_breal=0.2 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=linear
gradient:
  smooth=yes index=6 color=2445567 index=228 color=327680 index=259
  color=15794175 index=271 color=655360 index=326 color=16769274
opacity:
  smooth=no index=0 opacity=255
}
Image size
1960x1470px 1.97 MB
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