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Description
Download for 1960x1470 resolution

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 = 0.6. 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

InteractingSnakes {
fractal:
title="Interacting Snakes" width=640 height=480 layers=1
credits="Ingvar Kullberg;1/7/2013"
layer:
caption="Layer 1" opacity=100
mapping:
center=0/0 magn=0.7
formula:
maxiter=50 percheck=off filename="spr.ufm" entry="RayTrace"
p_formula=Cubic p_fourthdim="a-real or zr" p_fourthvalue=0.6
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
}

Description
Download for 1960x1470 resolution

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 = 0.6. 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

InteractingSnakes {
fractal:
title="Interacting Snakes" width=640 height=480 layers=1
credits="Ingvar Kullberg;1/7/2013"
layer:
caption="Layer 1" opacity=100
mapping:
center=0/0 magn=0.7
formula:
maxiter=50 percheck=off filename="spr.ufm" entry="RayTrace"
p_formula=Cubic p_fourthdim="a-real or zr" p_fourthvalue=0.6
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
}