Fractal 044 A – Lung
Part of LIFE series – 10 2021
air . alveolus . blue . body . engine . life . lung . organ . oxygen
Fractal 044 A – zoom level 1
Fractal 044 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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 to train an AI, please contact Philippe.
Fractal 044 A - Lung - Part of LIFE series - 10.2021
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– â– â– " antialiasing=yes
layer:
caption="Layer â– " opacity=â– â– â– mergemode=lighten
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– magn=â– â– â– â– â– .â– â– â–
angle=-â– â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="dmj.ufm" entry="dmj-DNovaMandel"
p_start=â– /â– p_powerâ– =â– /â– p_powerâ– =â– /â– p_coeffâ– =â– /â– p_coeffâ– =-â– /â–
p_bailout=â– .â– â– â– â– â– p_usecritical=no p_relax=â– /â–
inside:
transfer=none
outside:
transfer=sqr
gradient:
smooth=yes rotation=-â– â– index=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– 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=darken
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– magn=â– â– â– â– â– .â– â– â–
angle=-â– â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="dmj.ufm" entry="dmj-DNovaMandel"
p_start=â– /â– p_powerâ– =â– /â– p_powerâ– =â– /â– p_coeffâ– =â– /â– p_coeffâ– =-â– /â–
p_bailout=â– .â– â– â– â– â– p_usecritical=no p_relax=â– /â–
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=sqr
gradient:
smooth=yes rotation=-â– â– index=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–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Background" opacity=â– â– â– mergemode=multiply
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– magn=â– â– â– â– â– .â– â– â–
angle=-â– â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="dmj.ufm" entry="dmj-DNovaMandel"
p_start=â– /â– p_powerâ– =â– /â– p_powerâ– =â– /â– p_coeffâ– =â– /â– p_coeffâ– =-â– /â–
p_bailout=â– .â– â– â– â– â– p_usecritical=no p_relax=â– /â–
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=sqr
gradient:
smooth=yes rotation=-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– â– â– â– index=â– â– â– color=â– â– â– â– â– â– â– â–
index=-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=multiply method=multipass
mapping:
center=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– percheck=off filename="ldm.ufm" entry="dmâ– â– a"
p_pâ– =-â– .â– /â– f_fnâ– =exp f_fnâ– =cosh
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=log
gradient:
smooth=yes rotation=-â– 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– 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– color=â– â– â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Layer â– " opacity=â– â– â– method=multipass
mapping:
center=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– percheck=off filename="ldm.ufm" entry="dmâ– â– a"
p_pâ– =-â– .â– /â– f_fnâ– =exp f_fnâ– =cosh
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=log
gradient:
smooth=yes rotation=-â– 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– 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– color=â– â– â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
}
dmj-DNovaMandel {
;
; This is the DoubleNova fractal (Mandelbrot form),
; a modified Newtonian-style fractal. DoubleNova is
; like Nova, but with two terms instead of one.
;
init:
complex zold = (â– ,â– )
z = @start
IF (@usecritical)
z = ( -((@powerâ– -â– )â– @powerâ– â– @coeffâ– ) / \
((@powerâ– -â– )â– @powerâ– â– @coeffâ– ) ) ^ (â– /(@powerâ– -@powerâ– ))
ENDIF
loop:
zold = z
z = z - (@coeffâ– â– z^@powerâ– + @coeffâ– â– z^@powerâ– - â– ) â– @relax / \
(@coeffâ– â– @powerâ– â– z^(@powerâ– -â– ) + @coeffâ– â– @powerâ– â– z^(@powerâ– -â– )) + #pixel
bailout:
|z - zold| > @bailout
default:
title = "DoubleNova (Mandelbrot)"
helpfile = "dmj-pub\dmj-pub-uf-dn.htm"
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 powerâ–
caption = "Primary Exponent"
default = (â– ,â– )
hint = "Defines the primary exponent for the equation."
endparam
param powerâ–
caption = "Secondary Exponent"
default = (â– ,â– )
hint = "Defines the secondary exponent for the equation."
endparam
param coeffâ–
caption = "Primary Scale"
default = (â– ,â– )
hint = "Defines the coefficient (multiplier) for the \
primary exponent term."
endparam
param coeffâ–
caption = "Secondary Scale"
default = (-â– ,â– )
hint = "Defines the coefficient (multiplier) for the \
secondary exponent term."
endparam
param bailout
caption = "Bailout"
default = â– .â– â– â– â– â–
hint = "Bailout value; smaller values will cause more \
iterations to be done for each point."
endparam
param usecritical
caption = "Use Critical Point"
default = false
hint = "If set, a critical point for the function will \
be used in place of the Start Value."
endparam
param relax
caption = "Relaxation"
default = (â– ,â– )
hint = "This can be used to slow down the convergence of \
the formula."
endparam
switch:
type = "dmj-DNovaJulia"
seed = #pixel
powerâ– = @powerâ–
powerâ– = @powerâ–
coeffâ– = @coeffâ–
coeffâ– = @coeffâ–
bailout = @bailout
relax = @relax
}
dmâ– â– a{
init:
z= pixel
loop:
z=fnâ– (pâ– )â– fnâ– (z+pâ– )
bailout:
|z|<=â–
default:
method = multipass
periodicity = â–
param pâ–
default=(-â– .â– ,â– )
endparam
func fnâ–
default=exp()
endfunc
func fnâ–
default=cosh()
endfunc
}
