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January 18
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1960×1470
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:iconfractalmonster:
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This is a 3D-section of the four dimensional cubic parameter space (the iteration formula is z -> z^3 - 3a^2 z + b), the axis a_real pointing into the fourth dimension, the 3D-slice is performed at a_real = 0.3. The red set is a part of M+, the grey set of M-. The motive is somewhat rotated.

More about cubics can be read about in my Cubic Tutorial and Short about drawing pictures of cubic parameter space. So also in my Chaotic series.

The image is rendered using a special module for Ultra Fractal, the module written by my very dear friend Greenseng her on dA. All his modules, as well as mine can be downloaded from here. Resized 6400x 4800. Small color adjustments is performed. All this postprocessing by Photoshop.

Below the parameter file Play and have fun :)

DancingGoddess {
fractal:
title="Dancing Goddess" width=640 height=480 layers=1
credits="Ingvar Kullberg;1/7/2013"
layer:
caption="Layer 1" opacity=100
mapping:
center=0.0347222222222222222/0.451388888888888889
magn=1.4048780487804878
formula:
maxiter=250 percheck=off filename="spr.ufm" entry="RayTrace"
p_formula=Cubic p_fourthdim="a-real or zr" p_fourthvalue=0.3
p_zorig=0 p_zinit=Both p_view=3-dim p_background=outside
p_touchscreen=yes p_cr=0 p_ci=0 p_cj=0 p_ck=0 p_br=0 p_bi=0 p_bj=0
p_bk=0 p_xrot=-5 p_yrot=-5 p_zrot=0 p_local=yes p_lightx=3
p_lighty=-2 p_lightz=-6 p_zscreen=640 p_zdist=4 p_zmagn=no
p_autoscale=no p_prec=20 p_delta=1 p_bailout=100
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="Raytrace"
p_gradient="Four gradients" p_scale2d=0.24
gradient:
smooth=no index=0 color=0 index=80 color=1382154 index=96
color=10115632 index=100 color=16 index=135 color=1063504 index=199
color=1409279 index=200 color=659456 index=299 color=15063797
index=300 color=655360 index=301 color=8413184 index=327
color=16773360 index=399 color=16777215
opacity:
smooth=no index=0 opacity=255
}
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:iconmorfinne:
interesting work! i like this colours too!
Reply
:iconfractalmonster:
:D You are a big fan of my 3D fractals :woohoo: Have you heard about fractals before?
Reply
:iconbamboo-water:
Mood: Love ~bamboo-water Apr 2, 2013  New member Hobbyist Digital Artist
Very nice work! Looks like the abstract top to the Statue of Liberty--Red, Blue, and an Off Shade of White! Now that is a winner!
Reply
:iconfractalmonster:
One of my 3D fractals ;) Thank you :) Maybe you would appreciate my Chaotic series of fractal articles (<- click) if you have a little theoretical interest ;)

Regarding deep zooms in the Mandelbrot set, if you check out my deviation Cauliflowerfort and click the link under "Artist's Comments", from page 4 you can follow the entire zoom sequence in 28 steps :wow:

.. and from the middle of the nineties there is a fantastic TV program about fractals, Colors of Infinity by Arthur Clarke :)
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:iconm-gosia:
incredibly beautiful
Reply
:iconauthorartistegoddess:
~AuthorArtisteGoddess Jan 19, 2013  Hobbyist Writer
I actually see the dancing goddess. I have a very good image of her grace. Good job! I am loving this! Who knows, maybe it will be the inspiration for a future artwork for me :)
Reply
:iconfractalmonster:
:D You may use any of my fractals in you art if you note me and link back to the original :)
Reply
:iconauthorartistegoddess:
~AuthorArtisteGoddess Jan 19, 2013  Hobbyist Writer
Oh ookay, I was just going to do like a person interpration of it, but thanks for letting me know! Your fractals would make excellent backgrounds and details :)
Reply
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