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Description
Download for 1280x960 resolution

A three dimensional slice of the six dimensional quartic parameter space parameterized as z -> z^4 + 2[ab - (a + b)^2]z^2 +4ab(a + b)z + c, the critical points being z = a, z = b, and z = -(a + b) forming the sets M1, M2 and M3 respectively.

*a_real = horizontal axis
*a_imag = vertical axis
*b_real = depth axis
*b_imag = 0
*c_real = 0
*c_imag = 0.5

That is we have performed the slice after having glided 0.5 units along the axis c_imag pointing into one of the three dimensions perpendicular to our space the motive have been rotated 10 degrees around both the horizontal and vertical axis’ in order to get a better perspective.

The union set is drawn, the red part = M1, the green part = M2, and the blue part = M3 The black parts represents cut off at screen touch and shown up as more or less distorted versions of the ordinary Mandelbrot set [link] .

Ultra Fractal, one layer, Raytrace2 formula written by here on DA.

Below the parameter file. Play and have fun

EasternFeathers1 {
fractal:
title="Eastern Feathers1" width=640 height=480 layers=1
credits="Ingvar Kullberg;4/11/2009"
layer:
caption="Background" opacity=100 method=linear
mapping:
center=0.069765746/-0.09493538 magn=1
formula:
maxiter=100 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_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=10.0 p_yrot=10.0 p_zrot=0 p_localrot=no
p_lightx=4.0 p_lighty=4.0 p_lightz=4.0 p_a_real=0.4 p_a_imag=0.0
p_b_real=0.0 p_b_imag=0.0 p_c_real=0.0 p_c_imag=0.5 p_fourthdim=0.0
p_zcenter=0 p_zlength=3 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=100 color=10855845 index=100 color=0
index=185 color=655596 index=199 color=16117728 index=200 color=0
index=288 color=62976 index=300 color=12713942 index=301
color=7667712 index=357 color=13631488 index=399 color=16777215
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1280x960 resolution

A three dimensional slice of the six dimensional quartic parameter space parameterized as z -> z^4 + 2[ab - (a + b)^2]z^2 +4ab(a + b)z + c, the critical points being z = a, z = b, and z = -(a + b) forming the sets M1, M2 and M3 respectively.

*a_real = horizontal axis
*a_imag = vertical axis
*b_real = depth axis
*b_imag = 0
*c_real = 0
*c_imag = 0.5

That is we have performed the slice after having glided 0.5 units along the axis c_imag pointing into one of the three dimensions perpendicular to our space the motive have been rotated 10 degrees around both the horizontal and vertical axis’ in order to get a better perspective.

The union set is drawn, the red part = M1, the green part = M2, and the blue part = M3 The black parts represents cut off at screen touch and shown up as more or less distorted versions of the ordinary Mandelbrot set [link] .

Ultra Fractal, one layer, Raytrace2 formula written by here on DA.

Below the parameter file. Play and have fun

EasternFeathers1 {
fractal:
title="Eastern Feathers1" width=640 height=480 layers=1
credits="Ingvar Kullberg;4/11/2009"
layer:
caption="Background" opacity=100 method=linear
mapping:
center=0.069765746/-0.09493538 magn=1
formula:
maxiter=100 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_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=10.0 p_yrot=10.0 p_zrot=0 p_localrot=no
p_lightx=4.0 p_lighty=4.0 p_lightz=4.0 p_a_real=0.4 p_a_imag=0.0
p_b_real=0.0 p_b_imag=0.0 p_c_real=0.0 p_c_imag=0.5 p_fourthdim=0.0
p_zcenter=0 p_zlength=3 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=100 color=10855845 index=100 color=0
index=185 color=655596 index=199 color=16117728 index=200 color=0
index=288 color=62976 index=300 color=12713942 index=301
color=7667712 index=357 color=13631488 index=399 color=16777215
opacity:
smooth=no index=0 opacity=255
}