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Description

Section of a 2D slice of the 12 dimensional Heptic parameter space.

This is a slight in-zoom, you can almost see where, in the previous deviation which is the very parent fractal to all of the motives in the "Path of the Arctic-series", the motive drawn according to the technique of "SetBorders". See article 19b) Short manual to the module Cubic Parameterspace (applied to heptics instead of cubics) in my Chaotic series of fractal articles.

Note the structures and copies of the Cubic Mandelbrot set in both the outer and inner structures.

Software: Ultra Fractal.

Formula: Included in the zip you can download from here.

Below the parameter file. Play and have fun

IntoTheArtic3 {
fractal:
title="IntoTheArtic3" width=800 height=600 layers=1 frame=86
credits="Ingvar Kullberg;6/3/2022"
layer:
caption="HCL+SetBorders" opacity=100 method=multipass
mapping:
center=0/0.980205351299895592260024357112368548266068908745757323915\
1486 magn=60
formula:
maxiter=10000 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=0.1 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=linear
gradient:
smooth=yes rotation=-9 index=0 color=2496102 index=14 color=16777201
index=82 color=2826486 index=128 color=16724090 index=285
color=3289777
opacity:
smooth=no index=0 opacity=255
}

Description

Section of a 2D slice of the 12 dimensional Heptic parameter space.

This is a slight in-zoom, you can almost see where, in the previous deviation which is the very parent fractal to all of the motives in the "Path of the Arctic-series", the motive drawn according to the technique of "SetBorders". See article 19b) Short manual to the module Cubic Parameterspace (applied to heptics instead of cubics) in my Chaotic series of fractal articles.

Note the structures and copies of the Cubic Mandelbrot set in both the outer and inner structures.

Software: Ultra Fractal.

Formula: Included in the zip you can download from here.

Below the parameter file. Play and have fun

IntoTheArtic3 {
fractal:
title="IntoTheArtic3" width=800 height=600 layers=1 frame=86
credits="Ingvar Kullberg;6/3/2022"
layer:
caption="HCL+SetBorders" opacity=100 method=multipass
mapping:
center=0/0.980205351299895592260024357112368548266068908745757323915\
1486 magn=60
formula:
maxiter=10000 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=0.1 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=linear
gradient:
smooth=yes rotation=-9 index=0 color=2496102 index=14 color=16777201
index=82 color=2826486 index=128 color=16724090 index=285
color=3289777
opacity:
smooth=no index=0 opacity=255
}