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A 2D slice of the 12-dimensional heptic parameter space.

Below the plotted axis’ and the movements along the other axis’,

*a_real = #pixel (horizontal)
*a_imag = #pixel (vertical)
*b_real = 0.5
*b_imag = 0
*c_real = 0.5
*c_imag = 0
*d_real = 0.5
*d_imag = 0
*e_real = 0.5
*e_imag = 0
*f_real = 0
*f_imag = 0


The contours drawn with respect to the sets present in this section is in one layer using the technique of SetBorders developed and programmed of the formula writer Stig Pettersson. Of the six sets, the sets M2 - M5 forms the boundary having 11 cusps that would be the main component of the 12th degree Mandelbrot set. But in fact the buds are of the Pentic Mandlebrot set, and so the filaments and the island floating outside the coast. Of the two inner sets the one to the right, together with the black bug, is the set M1, and the one to the left, together with the black bug, is the set M6. The black bud in the middle is the part which is common to ALL the six sets (M1 - M6), that is the black part belongs to Heptic Connectedness Locus (HCL). Parameter seeds taken from inside that set give rise to connected Heptic Julia sets.

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 [link]

Below the parameter file, play and have fun

BlushingMummy {
fractal:
title="Blushing Mummy" width=480 height=480 layers=1
credits="Ingvar Kullberg;11/3/2010"
layer:
caption="HCL+SetBorders" opacity=100 method=multipass
mapping:
center=-1.046383102/0.002228009 magn=0.3774574
formula:
maxiter=1000 filename="sp3.ufm" entry="HepticParameterspace3"
p_PlottedPlane="1.(a-real,a-imag)" p_M=HCL p_SetBorders=yes
p_hide=yes p_areal=0.0 p_aimag=0.0 p_breal=0.5 p_bimag=0.0
p_creal=0.5 p_cimag=0.0 p_dreal=0.5 p_dimag=0.0 p_ereal=0.5
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:
transfer=arctan filename="spr.ucl" entry="ContinousPotential"
p_auto=no 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 index=6 color=2104360 index=40 color=15794175 index=52
color=1907744 index=146 color=16769279 index=187 color=2445567
opacity:
smooth=no index=0 opacity=255
}