Fractal 021 B – Gravity
Part of OUTER SPACE series – 09 2021
abyss . color . gradient . gravity . grey . rainbow . wave
Fractal 021 B – zoom level 1
Fractal 021 B – zoom level 2
Data
This digital works is created exclusively from fractals, with 0% AI generated. It can therefore be converted into a set of functions and parameters that can be the basis for the training of an AI.
The mathematical formulas and parameter combinations corresponding to each fractal are presented below. In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction. If you are interested in using the full data set to train an AI, please contact Philippe.
Fractal 021 B - Gravity - Part of OUTER SPACE series - 09.2021
Layers {
layer:
caption="Background" opacity=â– â– â–
mapping:
center=-â– .â– â– â– â– â– â– â– â– â– â– â– â– â– /â– .â– â– â– â– â– â– â– â– â– â– â– â– magn=â– â– â– .â– â– â– â– â– angle=-â– .â– â– â–
formula:
maxiter=â– â– â– filename="Standard.ufm" entry="Mandelbrot" p_start=â– /â–
p_power=â– /â– p_bailout=â– â– â–
inside:
transfer=none offset=â– â– â– repeat=no solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=cube solid=â– â– â– â– â– â– â– â– â– â– filename="Standard.ucl"
entry="Smooth" p_power=â– /â– p_bailout=â– â– â– .â–
gradient:
smooth=yes rotation=-â– index=â– color=â– â– â– â– â– â– â– â– index=â– â–
color=â– â– â– â– â– â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â– color=â– â– â– â– â– â–
index=â– â– color=â– â– â– â– â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â–
color=â– â– â– â– â– â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â– color=â– â– â– â– â– â– â–
index=â– â– color=â– â– â– â– â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â–
color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â–
index=â– â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– index=â– â– â–
color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â–
index=â– â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â– index=â– â– â–
color=â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â–
index=â– â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=â– index=â– â– â– color=â– â– â– â– â– â– â– â–
index=â– â– â– color=â– â– â– â– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– index=â– â– â–
color=â– â– â– â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
}
Mandelbrot {
;
; Generic Mandelbrot set.
;
init:
z = @start
loop:
z = z^@power + #pixel
bailout:
|z| <= @bailout
$IFDEF VERâ– â–
perturbinit:
#dz = â–
perturbloop:
if @power == (â– , â– )
#dz = â– â– #z â– #dz + sqr(#dz) + #dpixel
elseif @power == (â– , â– )
complex zâ– = sqr(#z)
complex dzâ– = sqr(#dz)
#dz = â– â– zâ– â– #dz + â– â– #z â– dzâ– + #dz â– dzâ– + #dpixel
else ; power â–
complex zâ– = sqr(#z)
complex dzâ– = sqr(#dz)
complex zdzâ– = â– â– #zâ– #dz
#dz = #dpixel + zdzâ– â– zâ– + â– â– zâ– â– dzâ– + zdzâ– â– dzâ– + sqr(dzâ– )
endif
$ENDIF
default:
title = "Mandelbrot"
center = (-â– .â– , â– )
helpfile = "Ufâ– .chm"
helptopic = "Html\formulas\standard\mandelbrot.html"
$IFDEF VERâ– â–
rating = recommended
$ENDIF
$IFDEF VERâ– â–
perturb = @power == (â– , â– ) || @power == (â– , â– ) || @power == (â– , â– )
$ENDIF
param start
caption = "Starting point"
default = (â– ,â– )
hint = "The starting point parameter can be used to distort the Mandelbrot \
set. Use (â– , â– ) for the standard Mandelbrot set."
endparam
param power
caption = "Power"
default = (â– ,â– )
hint = "This parameter sets the exponent for the Mandelbrot formula. \
Increasing the real part to â– , â– , and so on, will add discs to \
the Mandelbrot figure. Non-integer real values and non-zero \
imaginary values will create distorted Mandelbrot sets. Use (â– , â– ) \
for the standard Mandelbrot set."
endparam
float param bailout
caption = "Bailout value"
default = â– .â–
min = â– .â–
$IFDEF VERâ– â–
exponential = true
$ENDIF
hint = "This parameter defines how soon an orbit bails out while \
iterating. Larger values give smoother outlines; values around â– \
give more interesting shapes around the set. Values less than â– \
will distort the fractal."
endparam
switch:
type = "Julia"
seed = #pixel
power = power
bailout = bailout
}
