FractalMonster on DeviantArthttp://creativecommons.org/licenses/by-nc-sa/3.0/https://www.deviantart.com/fractalmonster/art/Guardian-against-Dark-Spaces-279763399FractalMonster

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Guardian against Dark Spaces

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An in-zoom, in fact a further in-zoom in the previous deviation Dragons Rising from the Sea. That being a part of a 2D-slice from the four dimensional :omg: :faint: cubic parameter space, in the standard form z -> z^3 - 3a^2 z + b, critical point z = +a and z = -a. The “lay-down spirals at the bottom belong to the set M+, and the “risen spirals belong to the set M-.
Note: Both the sets M+ and M- are drawn in one layer due to the technique of CCL+SetBorders. But more of that can be read of in article 19b in my Chaotic series. Thus,


*a_real = 0.39
*a_imag = #pixel (horizontal, before being rotated 40 degrees clockwice)
*b_real = 0
*b_imag = #pixel (vertical, before being rotated 40 degrees clockwice)


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 and the "cubic" articles in my Chaotic series.

Below the parameter file. Play and have fun :)

GuardianAgainstDarkSpaces {
fractal:
title="Guardian against Dark Spaces" width=640 height=480 layers=1
credits="Ingvar Kullberg;1/15/2012"
layer:
caption="CCL+SetBorders" opacity=100 mergemode=lighten
method=multipass
mapping:
center=0.14976988978935/0.77320231534225 magn=1394.4779 angle=40
formula:
maxiter=25000 filename="sp3.ufm" entry="CubicParameterspace3"
p_PlottedPlane="5.(a-imag,b-imag)" p_M=CCL p_SetBorders=yes
p_hide=yes p_areal=0.39 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=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=-192 index=153 color=20735 index=-192
color=9043968 index=-129 color=1903642 index=-13 color=16769279
opacity:
smooth=no index=0 opacity=255
}
Image size
1280x960px 1.55 MB
Comments54
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astratierra's avatar
awesome..this is really cool :)