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Description

Updated to 1960x1470 resolution when downloaded

From the ordinary Mandelbrot set

This is the same motive as this illustration to my journal Finding the PathIn this journal I will talk a little about the little Mandy’s, the minibrots. In the scraps,

there is a short zoom sequence starting at the northern part of the head of the entire Mandelbrot set. The yellow arrow in the first image shows the part of a branch where the next zoom is performed. Note that the whole M set is connected and that the branches are solely built up of an infinite hierarchy of minibrots. Also note that the number of secondary decorations to a minibrot increases according to the series 1, 2, 4, 8, 16 etc when we approach the minibrot. But all this you can read about in articles 10 – 14 in my Chaotic series of fractal articles. These secondary decorations join at spots that correspond to spots on the entire M set from which the borderlines between the black and white fields radiate. I call these spots acupuncture point , however in wallpaper resolution and without markings

Below the parameter file. Play and have fun

HairyValley {
fractal:
title="Hairy Valley" width=800 height=600 layers=1
credits="Ingvar Kullberg;1/18/2019"
layer:
caption="Layer 1" opacity=100 method=multipass
mapping:
center=-1.02547793685078155/0.379305046285665035 magn=15134934
formula:
maxiter=50000 percheck=off filename="Standard.ufm"
entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=100
inside:
transfer=none
outside:
transfer=arctan
gradient:
comments="Kerry Mitchell/n /nrainbow gradient with green negated"
smooth=yes rotation=-130 index=33 color=127 index=83 color=16638
index=99 color=13233407 index=160 color=1544 index=203 color=7281801
index=228 color=16711551 index=283 color=16695296 index=307
color=16646144 index=383 color=131072
opacity:
smooth=no index=0 opacity=255
}

Description

Updated to 1960x1470 resolution when downloaded

From the ordinary Mandelbrot set

This is the same motive as this illustration to my journal Finding the PathIn this journal I will talk a little about the little Mandy’s, the minibrots. In the scraps,

there is a short zoom sequence starting at the northern part of the head of the entire Mandelbrot set. The yellow arrow in the first image shows the part of a branch where the next zoom is performed. Note that the whole M set is connected and that the branches are solely built up of an infinite hierarchy of minibrots. Also note that the number of secondary decorations to a minibrot increases according to the series 1, 2, 4, 8, 16 etc when we approach the minibrot. But all this you can read about in articles 10 – 14 in my Chaotic series of fractal articles. These secondary decorations join at spots that correspond to spots on the entire M set from which the borderlines between the black and white fields radiate. I call these spots acupuncture point , however in wallpaper resolution and without markings

Below the parameter file. Play and have fun

HairyValley {
fractal:
title="Hairy Valley" width=800 height=600 layers=1
credits="Ingvar Kullberg;1/18/2019"
layer:
caption="Layer 1" opacity=100 method=multipass
mapping:
center=-1.02547793685078155/0.379305046285665035 magn=15134934
formula:
maxiter=50000 percheck=off filename="Standard.ufm"
entry="Mandelbrot" p_start=0/0 p_power=2/0 p_bailout=100
inside:
transfer=none
outside:
transfer=arctan
gradient:
comments="Kerry Mitchell/n /nrainbow gradient with green negated"
smooth=yes rotation=-130 index=33 color=127 index=83 color=16638
index=99 color=13233407 index=160 color=1544 index=203 color=7281801
index=228 color=16711551 index=283 color=16695296 index=307
color=16646144 index=383 color=131072
opacity:
smooth=no index=0 opacity=255
}