Fractal 008 D – Overgrowth
Part of LIFE series – 09 2021
fire . forest . grey . heat . nature . neuron . red . seed
Fractal 008 D – zoom level 1
Fractal 008 D – 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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 008 D - Overgrowth - Part of LIFE series - 09.2021
Layers {
layer:
caption="Layer â– " opacity=â– â– mergemode=overlay
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– â– â– â– â– â– â– â– â– magn=â– â– â– â– â– â– .â– â–
stretch=â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="Standard.ufm" entry="NovaMandel"
p_start=â– /â– p_power=â– /â– p_bailout=â– .â– â– â– â– â– p_relax=â– /â–
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes 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– 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–
index=â– â– â– color=â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Layer â– " opacity=â– â– mergemode=hsladd transparent=yes
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– â– â– â– â– â– â– â– â– magn=â– â– â– â– â– â– .â– â–
stretch=â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="Standard.ufm" entry="NovaMandel"
p_start=â– /â– p_power=â– /â– p_bailout=â– .â– â– â– â– â– p_relax=â– /â–
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes 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– 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–
index=â– â– â– color=â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Background" opacity=â– â– â– transparent=yes
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– â– â– â– â– â– â– â– â– magn=â– â– â– â– â– â– .â– â–
stretch=â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="Standard.ufm" entry="NovaMandel"
p_start=â– /â– p_power=â– /â– p_bailout=â– .â– â– â– â– â– p_relax=â– /â–
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=â– color=â– â– â– â– â– â– index=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– index=â– â– â– color=â– â– â– â– â– â– â– â–
index=â– â– â– color=â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
}
NovaMandel {
;
; Nova fractal (Mandelbrot form), a modified Newtonian-style fractal.
; The formula was first shown to me by Paul Derbyshire (who named it
; Nova). It has also appeared elsewhere under other names. Use this
; formula and the Switch feature to select a Nova (Julia) fractal.
;
; Written by Damien M. Jones.
;
init:
complex zsquared = (â– ,â– )
complex zcubed = (â– ,â– )
complex zold = (â– ,â– )
z = @start
loop:
IF (@power == (â– ,â– )); special optimized routine for power â–
zsquared = sqr(z)
zcubed = zsquared â– z
zold = z
z = z - @relax â– (zcubed-â– ) / (â– â– zsquared) + #pixel
ELSE
zold = z
z = z - @relax â– (z^@power-â– ) / (@power â– z^(@power-â– )) + #pixel
ENDIF
bailout:
|z - zold| > @bailout
default:
title = "Nova (Mandelbrot)"
helpfile = "Ufâ– .chm"
helptopic = "Html\formulas\standard\nova.html"
$IFDEF VERâ– â–
rating = recommended
$ENDIF
maxiter = â– â– â– â–
periodicity = â–
center = (-â– .â– ,â– )
magn = â– .â–
param start
caption = "Start Value"
default = (â– ,â– )
hint = "Starting value for each point. You can use this to \
'perturb' the fractal."
endparam
param power
caption = "Exponent"
default = (â– ,â– )
hint = "Overall exponent for the equation. The value (â– ,â– ) gives \
the classic Nova Mandelbrot-type fractal."
endparam
param bailout
caption = "Bailout"
default = â– .â– â– â– â– â–
$IFDEF VERâ– â–
exponential = true
$ENDIF
hint = "Bailout value; smaller values will cause more \
iterations to be done for each point."
endparam
param relax
caption = "Relaxation"
default = (â– ,â– )
hint = "This can be used to slow down the convergence of \
the formula."
endparam
switch:
type = "NovaJulia"
seed = #pixel
power = @power
bailout = @bailout
relax = @relax
}
