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Description
Software: Ultra Fractal.
Formula: Nonic parameterspace 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.

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

The set M2 = M3 forms the outer fractal structure, and the set M1 = M8 forms the inner fractal structure. Because the whole motive is totally inside the sets M4 - M7 the black parts belongs to Nonic Connectednes Locus (NCL).

Nonic parameter space is 16-dimensional You can read more about it in my journal,

Octics and Nonics are here

Note: Although displaying more than 1 fractal set, this is a 1-layer image using the technique of SetBorders

Below the parameter file, play and have fun

VerticalHierarchy {
fractal:
title="Vertical Hierarchy" width=800 height=600 layers=1
credits="Ingvar Kullberg;3/30/2015"
layer:
caption="NCL+SetBorders" opacity=100 method=multipass
mapping:
center=0/1.18 magn=7.5
formula:
maxiter=1000 filename="sp3.ufm" entry="NonicParameterspace3"
p_PlottedPlane="1.(a-real,a-imag)" p_M=NCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=1 p_bimag=0.0 p_creal=-1
p_cimag=0.0 p_dreal=0.0 p_dimag=0.0 p_ereal=0.0 p_eimag=0.0
p_freal=0.0 p_fimag=0.0 p_greal=0.0 p_gimag=0.0 p_hreal=0.0
p_himag=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_xrote=0.0 p_yrote=0.0 p_xrotf=0.0 p_yrotf=0.0
p_xrotg=0.0 p_yrotg=0.0 p_xroth=0.0 p_yroth=0.0 p_zrot=0.0
p_LocalRot=no p_diff=no p_bailout=1000.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="ContinousPotential"
p_auto=yes p_auton=2.0 p_n=5 p_numfact=5 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=9.0 p_reversed=no p_test=no p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes index=9 color=2104360 index=40 color=15794175 index=52
color=1907744 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}

Description
Software: Ultra Fractal.
Formula: Nonic parameterspace 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.

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

The set M2 = M3 forms the outer fractal structure, and the set M1 = M8 forms the inner fractal structure. Because the whole motive is totally inside the sets M4 - M7 the black parts belongs to Nonic Connectednes Locus (NCL).

Nonic parameter space is 16-dimensional You can read more about it in my journal,

Octics and Nonics are here

Note: Although displaying more than 1 fractal set, this is a 1-layer image using the technique of SetBorders

Below the parameter file, play and have fun

VerticalHierarchy {
fractal:
title="Vertical Hierarchy" width=800 height=600 layers=1
credits="Ingvar Kullberg;3/30/2015"
layer:
caption="NCL+SetBorders" opacity=100 method=multipass
mapping:
center=0/1.18 magn=7.5
formula:
maxiter=1000 filename="sp3.ufm" entry="NonicParameterspace3"
p_PlottedPlane="1.(a-real,a-imag)" p_M=NCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=1 p_bimag=0.0 p_creal=-1
p_cimag=0.0 p_dreal=0.0 p_dimag=0.0 p_ereal=0.0 p_eimag=0.0
p_freal=0.0 p_fimag=0.0 p_greal=0.0 p_gimag=0.0 p_hreal=0.0
p_himag=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_xrote=0.0 p_yrote=0.0 p_xrotf=0.0 p_yrotf=0.0
p_xrotg=0.0 p_yrotg=0.0 p_xroth=0.0 p_yroth=0.0 p_zrot=0.0
p_LocalRot=no p_diff=no p_bailout=1000.0 p_dbailout=1E-6
inside:
transfer=none
outside:
transfer=linear filename="spr.ucl" entry="ContinousPotential"
p_auto=yes p_auton=2.0 p_n=5 p_numfact=5 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=9.0 p_reversed=no p_test=no p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes index=9 color=2104360 index=40 color=15794175 index=52
color=1907744 index=107 color=16769274 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}