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Description
Download for 1280x960 resolution

In this motive I’ve started with my earlier deviation HepticStrangeCubeMandy, fixed the center of the very tilted copy of the Cubic Mandelbrot set, and then performed a double perpendicular rotation from the original PlottedPlane 11 (a_real, f_imag) to the PlottedPlane 66 (f_real, f_imag). “Double perpendicular rotation” of planes requires at least 4 spatial dimensions The technic used is described in article 21 and article 22 in my Chaotic series of fractal articles. This motive is a 2D-slice from the 12 dimensional heptic parameter space. Note that the secondary decoration around the copy of the cubic Mandelbrot set are similar to the “unrotated original". The coloring is however quite different in this one Thus,

*a_real = -0.38128734163805
*a_imag = 0
*b_real = 1
*b_imag = 0
*c_real = -1
*c_imag = 0
*d_real = 1
*d_imag = 0
*e_real = -1
*e_imag = 0
*f_real = #pixel (horizontal)
*f_imag = #pixel (vertical)

The set M2 = M4 is drawn

Ultra Fractal, formula Heptic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

Below the parameter file, play and have fun

HepticStrangeCubeMandy_Plane66 {
fractal:
title="HepticStrangeCubeMandy_Plane66" width=640 height=480 layers=1
credits="Ingvar Kullberg;5/28/2011"
layer:
caption="M2=M4" opacity=100 method=multipass
mapping:
center=3.07938959e-6/0.17934045700545 magn=2022.1372
formula:
maxiter=25000 filename="sp3.ufm" entry="HepticParameterspace3"
p_PlottedPlane="66.(f-real,f-imag)" p_M=M2 p_SetBorders=no
p_hide=yes p_areal=-0.38128734163805 p_aimag=0.0 p_breal=1
p_bimag=0.0 p_creal=-1 p_cimag=0.0 p_dreal=1 p_dimag=0.0 p_ereal=-1
p_eimag=0.0 p_freal=0.0 p_fimag=0.0 p_xrot=0.0 p_yrot=0.0
p_xrott=0.0 p_yrott=0.0 p_xrotu=0.0 p_yrotu=0.0 p_xrotv=0.0
p_yrotv=0.0 p_xrotr=0.0 p_yrotr=0.0 p_xrots=0.0 p_yrots=0.0
p_xrota=0.0 p_yrota=0.0 p_xrotb=0.0 p_yrotb=0.0 p_xrotc=0.0
p_yrotc=0.0 p_xrotd=0.0 p_yrotd=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=1.0
p_numfact=1.0 p_scale=1.0 p_smooth=no p_epsilon=0.5 p_illustr=no
p_limiton=no p_limit=0.1 p_index3=0.0 p_index1=0.99 p_index2=0.0
p_speed=0.5 p_acc=1.0 p_clog=yes p_power=2.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-200 index=4 color=18674 index=22 color=768511
index=-296 color=15850751 index=-262 color=16777215 index=-178
color=3152938 index=-160 color=16720709 index=-114 color=1966091
index=-83 color=16449535 index=-82 color=3683159
opacity:
smooth=no index=0 opacity=255
}

Description
Download for 1280x960 resolution

In this motive I’ve started with my earlier deviation HepticStrangeCubeMandy, fixed the center of the very tilted copy of the Cubic Mandelbrot set, and then performed a double perpendicular rotation from the original PlottedPlane 11 (a_real, f_imag) to the PlottedPlane 66 (f_real, f_imag). “Double perpendicular rotation” of planes requires at least 4 spatial dimensions The technic used is described in article 21 and article 22 in my Chaotic series of fractal articles. This motive is a 2D-slice from the 12 dimensional heptic parameter space. Note that the secondary decoration around the copy of the cubic Mandelbrot set are similar to the “unrotated original". The coloring is however quite different in this one Thus,

*a_real = -0.38128734163805
*a_imag = 0
*b_real = 1
*b_imag = 0
*c_real = -1
*c_imag = 0
*d_real = 1
*d_imag = 0
*e_real = -1
*e_imag = 0
*f_real = #pixel (horizontal)
*f_imag = #pixel (vertical)

The set M2 = M4 is drawn

Ultra Fractal, formula Heptic Parameterspace3 in the sp3-module written by my dear friend Stig Pettersson, Greenseng here at DeviantART. All his modules, as well as mine can be downloaded from here.

Below the parameter file, play and have fun

HepticStrangeCubeMandy_Plane66 {
fractal:
title="HepticStrangeCubeMandy_Plane66" width=640 height=480 layers=1
credits="Ingvar Kullberg;5/28/2011"
layer:
caption="M2=M4" opacity=100 method=multipass
mapping:
center=3.07938959e-6/0.17934045700545 magn=2022.1372
formula:
maxiter=25000 filename="sp3.ufm" entry="HepticParameterspace3"
p_PlottedPlane="66.(f-real,f-imag)" p_M=M2 p_SetBorders=no
p_hide=yes p_areal=-0.38128734163805 p_aimag=0.0 p_breal=1
p_bimag=0.0 p_creal=-1 p_cimag=0.0 p_dreal=1 p_dimag=0.0 p_ereal=-1
p_eimag=0.0 p_freal=0.0 p_fimag=0.0 p_xrot=0.0 p_yrot=0.0
p_xrott=0.0 p_yrott=0.0 p_xrotu=0.0 p_yrotu=0.0 p_xrotv=0.0
p_yrotv=0.0 p_xrotr=0.0 p_yrotr=0.0 p_xrots=0.0 p_yrots=0.0
p_xrota=0.0 p_yrota=0.0 p_xrotb=0.0 p_yrotb=0.0 p_xrotc=0.0
p_yrotc=0.0 p_xrotd=0.0 p_yrotd=0.0 p_zrot=0.0 p_LocalRot=no
p_diff=no p_bailout=100.0 p_dbailout=1E-6
inside:
transfer=none
outside:
density=2 transfer=linear filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=1.0
p_numfact=1.0 p_scale=1.0 p_smooth=no p_epsilon=0.5 p_illustr=no
p_limiton=no p_limit=0.1 p_index3=0.0 p_index1=0.99 p_index2=0.0
p_speed=0.5 p_acc=1.0 p_clog=yes p_power=2.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-200 index=4 color=18674 index=22 color=768511
index=-296 color=15850751 index=-262 color=16777215 index=-178
color=3152938 index=-160 color=16720709 index=-114 color=1966091
index=-83 color=16449535 index=-82 color=3683159
opacity:
smooth=no index=0 opacity=255
}