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Description
A 3D slice of the four dimensional cubic parameter space. An in-zoom of the right side of my old deviation,

(click ->) Attack from the 4th dimension (<- click)

However this is drawn with a newer module (see my journal Some remarks about the UF formula Raytrace2 ). The color map is different. Here the white – yellow colors represents the set M+ and the reddish colors represents the set M-. The original resolution is “only” 4800x3600(x4800).

Software: Ultra Fractal.

Below the parameter file, play and have fun

CubicSide {
fractal:
title="Cubic Side" width=640 height=480 layers=1
credits="Ingvar Kullberg;8/4/2012"
layer:
caption="Background" opacity=100 method=linear
mapping:
center=0.375/0.04375 magn=7.7419355
formula:
maxiter=500 percheck=off filename="spr.ufm" entry="Raytrace2"
p_maxiter=100 p_bailout=4.0 p_precision=10
p_Formula="Cubic Parameterspace" p_Fourth__Dimension=b_imag
p_Plotted_Space="a_real; a_imag; b_real" p_Fourth_Dimension=Zk
p_Fourth_Dim=C_imag p_Fourth__Dim=Ck p_view=no p_MSet=Union
p_QMSet=Union p_init_zri=0/0 p_init__zri=0.5/0.0 p_init_zjk=0.0/0.0
p_init__zjk=0.0/0.0 p_cri1=-0.7/0.0 p_cjk1=0.0/0.0 p_cri2=-0.7/0.0
p_cjk2=0.0/0.0 p_cri3=-0.7/0.0 p_cjk3=0.0/0.0 p_bri=0.0/0.0
p_bjk=0.0/0.0 p_xrot=-10 p_yrot=-10 p_zrot=0 p_localrot=no
p_lightx=4.0 p_lighty=4.0 p_lightz=4.0 p_a_real=0.0 p_a_imag=0.0
p_b_real=0.0 p_b_imag=0.0 p_c_real=0.0 p_c_imag=0.0 p_fourthdim=1
p_zcenter=0.0 p_zlength=4.0 p_zpixels=320 p_touchscreen=no
p_Coloring=None p_Background=Solid p_Gradient="One Gradient"
p_Cubic_Gradient="Two Gradients" p_Quartic_Gradient="One Gradient"
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=0 color=8716288 index=100 color=16121855 index=200
color=46591 index=300 color=229
opacity:
smooth=no index=0 opacity=255
}

Description
A 3D slice of the four dimensional cubic parameter space. An in-zoom of the right side of my old deviation,

(click ->) Attack from the 4th dimension (<- click)

However this is drawn with a newer module (see my journal Some remarks about the UF formula Raytrace2 ). The color map is different. Here the white – yellow colors represents the set M+ and the reddish colors represents the set M-. The original resolution is “only” 4800x3600(x4800).

Software: Ultra Fractal.

Below the parameter file, play and have fun

CubicSide {
fractal:
title="Cubic Side" width=640 height=480 layers=1
credits="Ingvar Kullberg;8/4/2012"
layer:
caption="Background" opacity=100 method=linear
mapping:
center=0.375/0.04375 magn=7.7419355
formula:
maxiter=500 percheck=off filename="spr.ufm" entry="Raytrace2"
p_maxiter=100 p_bailout=4.0 p_precision=10
p_Formula="Cubic Parameterspace" p_Fourth__Dimension=b_imag
p_Plotted_Space="a_real; a_imag; b_real" p_Fourth_Dimension=Zk
p_Fourth_Dim=C_imag p_Fourth__Dim=Ck p_view=no p_MSet=Union
p_QMSet=Union p_init_zri=0/0 p_init__zri=0.5/0.0 p_init_zjk=0.0/0.0
p_init__zjk=0.0/0.0 p_cri1=-0.7/0.0 p_cjk1=0.0/0.0 p_cri2=-0.7/0.0
p_cjk2=0.0/0.0 p_cri3=-0.7/0.0 p_cjk3=0.0/0.0 p_bri=0.0/0.0
p_bjk=0.0/0.0 p_xrot=-10 p_yrot=-10 p_zrot=0 p_localrot=no
p_lightx=4.0 p_lighty=4.0 p_lightz=4.0 p_a_real=0.0 p_a_imag=0.0
p_b_real=0.0 p_b_imag=0.0 p_c_real=0.0 p_c_imag=0.0 p_fourthdim=1
p_zcenter=0.0 p_zlength=4.0 p_zpixels=320 p_touchscreen=no
p_Coloring=None p_Background=Solid p_Gradient="One Gradient"
p_Cubic_Gradient="Two Gradients" p_Quartic_Gradient="One Gradient"
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=0 color=8716288 index=100 color=16121855 index=200
color=46591 index=300 color=229
opacity:
smooth=no index=0 opacity=255
}