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Description
Download for 1960x1470 resolution

This is a 3D cross section of the 6 dimensional Quartic parameter space You can read about quartics in the 3 very last articles (30, 31, and 32) in my Chaotic series of fractal articles. So also a little bit in my journal 3D-slices of Quartic Parameter Space and partly in my journal Some remarks about the UF formula Raytrace2. The 3 colors repressents the 3 subsets.

Which 3 axis' are plotted and which 3 axis' are pointing into the 4th, 5th, and 6th spatial dimensions? At which positions at the plotted axis is the this fractal sliced and how is this slice rotated? Well, I leave to the reader to run the parameter file below and look after If you don't have UF you may be able to get the answer if you read the parameter text below visually

Software: Ultra Fractal.
Formula: Quartic Parameterspace3 in the sp3-module written by my dear friend Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

Below the parameter file Play and have fun

ExplodingPretzel {
fractal:
title="Exploding Pretzel" width=640 height=480 layers=1
credits="Ingvar Kullberg;2/24/2013"
layer:
caption="Background" opacity=100 method=linear
mapping:
center=-0.206504675/-0.1689084225 magn=0.85214379
formula:
maxiter=250 percheck=off filename="spr.ufm" entry="Raytrace2"
p_maxiter=100 p_bailout=4.0 p_precision=10
p_Formula="Quartic Parameterspace" p_Fourth__Dimension=b_imag
p_Plotted_Space="a_real; a_imag; b_imag" 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=-20 p_yrot=10 p_zrot=50 p_localrot=no
p_lightx=4.0 p_lighty=1.0 p_lightz=4.0 p_a_real=0.4 p_a_imag=0.0
p_b_real=0.3 p_b_imag=0.0 p_c_real=0.8 p_c_imag=0.05 p_fourthdim=0.0
p_zcenter=0 p_zlength=4 p_zpixels=640 p_touchscreen=yes
p_Coloring=Raytrace2.ucl p_Background=Floating
p_Gradient="One Gradient" p_Cubic_Gradient="One Gradient"
p_Quartic_Gradient="Four Gradients"
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="Raytrace2"
gradient:
smooth=no index=0 color=0 index=82 color=2369561 index=94
color=12764106 index=100 color=0 index=186 color=692460 index=199
color=16117728 index=200 color=0 index=292 color=4351 index=300
color=12713942 index=301 color=7667712 index=357 color=2752512
index=399 color=16777215
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1960x1470 resolution

This is a 3D cross section of the 6 dimensional Quartic parameter space You can read about quartics in the 3 very last articles (30, 31, and 32) in my Chaotic series of fractal articles. So also a little bit in my journal 3D-slices of Quartic Parameter Space and partly in my journal Some remarks about the UF formula Raytrace2. The 3 colors repressents the 3 subsets.

Which 3 axis' are plotted and which 3 axis' are pointing into the 4th, 5th, and 6th spatial dimensions? At which positions at the plotted axis is the this fractal sliced and how is this slice rotated? Well, I leave to the reader to run the parameter file below and look after If you don't have UF you may be able to get the answer if you read the parameter text below visually

Software: Ultra Fractal.
Formula: Quartic Parameterspace3 in the sp3-module written by my dear friend Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

Below the parameter file Play and have fun

ExplodingPretzel {
fractal:
title="Exploding Pretzel" width=640 height=480 layers=1
credits="Ingvar Kullberg;2/24/2013"
layer:
caption="Background" opacity=100 method=linear
mapping:
center=-0.206504675/-0.1689084225 magn=0.85214379
formula:
maxiter=250 percheck=off filename="spr.ufm" entry="Raytrace2"
p_maxiter=100 p_bailout=4.0 p_precision=10
p_Formula="Quartic Parameterspace" p_Fourth__Dimension=b_imag
p_Plotted_Space="a_real; a_imag; b_imag" 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=-20 p_yrot=10 p_zrot=50 p_localrot=no
p_lightx=4.0 p_lighty=1.0 p_lightz=4.0 p_a_real=0.4 p_a_imag=0.0
p_b_real=0.3 p_b_imag=0.0 p_c_real=0.8 p_c_imag=0.05 p_fourthdim=0.0
p_zcenter=0 p_zlength=4 p_zpixels=640 p_touchscreen=yes
p_Coloring=Raytrace2.ucl p_Background=Floating
p_Gradient="One Gradient" p_Cubic_Gradient="One Gradient"
p_Quartic_Gradient="Four Gradients"
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="Raytrace2"
gradient:
smooth=no index=0 color=0 index=82 color=2369561 index=94
color=12764106 index=100 color=0 index=186 color=692460 index=199
color=16117728 index=200 color=0 index=292 color=4351 index=300
color=12713942 index=301 color=7667712 index=357 color=2752512
index=399 color=16777215
opacity:
smooth=no index=0 opacity=255
}