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Description

Section of a 2D slice of the 16 dimensional Nonic parameter space.

In nonic parameter space there are 8 subsets, M1 - M8. the previous deviation is drawn with respects to all the 8 sets in 1 layer using the technique of SetBorders. The previous deviation is clearly outside the sets M2 - M5, the long stripes in the latest deviations belong to the coalescing sets (they are coalescing due to the set up of parameters) M1 = M8 and the visible Mandelbrot structures belong to the coalescing sets M6 = M7. In this deviation, the motive being exactly the same as the previous, only M6 (=M7) is drawn.

Software: Ultra Fractal.

Formula: Nonic Parameterspace, included in the zip you can download from here.

Below the parameter file, play and have fun

HeadOfTheSnake_spiral2_CleanedMandy {
fractal:
title="Head of the Snake_spiral2_CleanedMandy" width=800 height=600
layers=1
credits="Ingvar Kullberg;11/21/2022;Stig Pettersson;3/13/2011"
layer:
caption="M6=M7" opacity=100 mergemode=difference method=multipass
mapping:
center=-0.7853845934295655/0.990264324882588 magn=270142.2
formula:
maxiter=10000 filename="sp3.ufm" entry="NonicParameterspace3"
p_PlottedPlane="15.(a-real,h-imag)" p_M=M6 p_SetBorders=no
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0 p_bimag=0.7 p_creal=0
p_cimag=-0.7 p_dreal=0 p_dimag=0.7 p_ereal=0 p_eimag=-0.7
p_freal=0.7 p_fimag=0.0 p_greal=-0.7 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:
density=16 transfer=sqrt filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=1.0
p_numfact=3.0 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=9.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-80 index=89 color=16769274 index=207
color=20735 index=-130 color=9043968 index=-11 color=3158085
opacity:
smooth=no index=0 opacity=255
}

Description

Section of a 2D slice of the 16 dimensional Nonic parameter space.

In nonic parameter space there are 8 subsets, M1 - M8. the previous deviation is drawn with respects to all the 8 sets in 1 layer using the technique of SetBorders. The previous deviation is clearly outside the sets M2 - M5, the long stripes in the latest deviations belong to the coalescing sets (they are coalescing due to the set up of parameters) M1 = M8 and the visible Mandelbrot structures belong to the coalescing sets M6 = M7. In this deviation, the motive being exactly the same as the previous, only M6 (=M7) is drawn.

Software: Ultra Fractal.

Formula: Nonic Parameterspace, included in the zip you can download from here.

Below the parameter file, play and have fun

HeadOfTheSnake_spiral2_CleanedMandy {
fractal:
title="Head of the Snake_spiral2_CleanedMandy" width=800 height=600
layers=1
credits="Ingvar Kullberg;11/21/2022;Stig Pettersson;3/13/2011"
layer:
caption="M6=M7" opacity=100 mergemode=difference method=multipass
mapping:
center=-0.7853845934295655/0.990264324882588 magn=270142.2
formula:
maxiter=10000 filename="sp3.ufm" entry="NonicParameterspace3"
p_PlottedPlane="15.(a-real,h-imag)" p_M=M6 p_SetBorders=no
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0 p_bimag=0.7 p_creal=0
p_cimag=-0.7 p_dreal=0 p_dimag=0.7 p_ereal=0 p_eimag=-0.7
p_freal=0.7 p_fimag=0.0 p_greal=-0.7 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:
density=16 transfer=sqrt filename="spr.ucl"
entry="ContinousPotential" p_auto=yes p_auton=2.0 p_n=1.0
p_numfact=3.0 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=9.0 p_reversed=no p_test=no
p_testvalue=0.7 p_index4=0.29
gradient:
smooth=yes rotation=-80 index=89 color=16769274 index=207
color=20735 index=-130 color=9043968 index=-11 color=3158085
opacity:
smooth=no index=0 opacity=255
}