Fractal 022 A – Soul
Part of BEYOND series – 08 2021
figure . heaven . light . portrait . sky . soul . spirit
Fractal 022 A – zoom level 1
Fractal 022 A – 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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, please contact Philippe.
Fractal 022 A - Soul - Part of BEYOND series - 08.2021
Fractal_â– â– â– _A {
fractal:
title="Fractal_â– â– â– _A" width=â– â– â– â– height=â– â– â– â– layers=â–
credits="Philoxerax;â– /â– /â– â– â– â– ;Phil;â– /â– â– /â– â– â– â– ;Philippe_admin;â– /â– /â– â– â– â– ;\
Philippe Chevalier;â– /â– â– /â– â– â– â– "
layer:
caption="Layer â– " opacity=â– â– mergemode=screen
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– magn=â– â– â– .â– â– â– â– â–
angle=â– â– â– .â– â– â–
formula:
maxiter=â– â– â– filename="wk.ufm" entry="Epsilon_Rot"
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=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– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Layer â– " opacity=â– â– mergemode=screen
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– magn=â– â– â– â– .â– â– â– â–
angle=â– â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="wk.ufm" entry="Epsilon_Rot"
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=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– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Background" opacity=â– â– mergemode=screen
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– magn=â– â– â– â– .â– â– â– â–
angle=â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="wk.ufm" entry="Epsilon_Rot"
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes index=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– 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–
angle=â– .â– â– â– â– stretch=â– .â– â– â– â– skew=-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– 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–
layer:
caption="Layer â– " opacity=â– â– mergemode=overlay 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–
angle=â– .â– â– â– â– stretch=â– .â– â– â– â– skew=-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– 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–
angle=â– .â– â– â– â– stretch=â– .â– â– â– â– skew=-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– 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–
angle=â– .â– â– â– â– stretch=â– .â– â– â– â– skew=-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– 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
}
Epsilon_Rot { ; Wayne Kiely
;epsiloncross test rotated â– â– degrees
z=c=pixel:
z=zâ– z+c
r=real(z), i=imag(z)
if ((((r-i)>-â– .â– â– ) && ((r-i)<â– .â– â– )) || (((r+i)>-â– .â– â– ) && ((r+i)<â– .â– â– )))
z=â– Eâ– ;forces escape
endif
|z| < â–
}
