Fractal 027 B – Shell
Part of LIFE series – 09 2021
abyss . blue . coral . death . shell . tunnel . underwater
Fractal 027 B – zoom level 1
Fractal 027 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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, please contact Philippe.
Fractal 027 B - Shell - Part of LIFE series - 09.2021
Fractal_â– â– â– _B {
fractal:
title="Fractal_â– â– â– _B" width=â– â– â– â– height=â– â– â– â– layers=â–
credits="Philoxerax;â– /â– â– /â– â– â– â– " antialiasing=yes
layer:
caption="Background" opacity=â– â– mergemode=hardlight
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– magn=â– .â– â– â– â– â– â– â– angle=-â– â– â– .â– â– â– â–
formula:
maxiter=â– â– â– â– percheck=off filename="dmj.ufm" entry="dmj-ManyNova"
p_power=â– /â– p_bailout=â– .â– â– â– â– â– p_relax=â– /â– p_scale=â– .â– p_jscale=â– .â–
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-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– 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–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Layer â– " opacity=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– magn=â– â– â– â– .â– â– â– â–
angle=-â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="anon.ufm" entry="TZâ– â– â– â– -â– â– "
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=cube
gradient:
smooth=yes index=â– â– color=â– index=â– â– â– color=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–
layer:
caption="Layer â– " opacity=â– â– mergemode=addition
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="anon.ufm" entry="TZâ– â– â– â– -â– â– "
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=cube
gradient:
smooth=yes 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– 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=blue
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– magn=â– â– â– â– .â– â– â– â–
angle=-â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="anon.ufm" entry="TZâ– â– â– â– -â– â– "
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– 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–
opacity:
smooth=no index=â– opacity=â– â– â–
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– 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="anon.ufm" entry="TZâ– â– â– â– -â– â– "
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
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– 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–
opacity:
smooth=no index=â– opacity=â– â– â–
}
dmj-ManyNova {
;
; This formula breaks the image up into a grid of
; squares, each square containing a small Nova Julia set
; using the c value from the center of the square.
;
init:
float iscale = â– / @scale
c = round(#pixel â– @scale) â– iscale
z = (#pixel - c) â– @scale â– @jscale
complex zsquared = (â– ,â– )
complex zcubed = (â– ,â– )
complex zold = (â– ,â– )
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) + c
ELSE
zold = z
z = z - @relax â– (z^@power-â– ) / (@power â– z^(@power-â– )) + c
ENDIF
bailout:
|z-zold| > @bailout
default:
title = "ManyNova"
helpfile = "dmj-pub\dmj-pub-uf-manynova.htm"
maxiter = â– â– â– â–
periodicity = â–
center = (â– ,â– )
magn = â– .â–
param power
caption = "Exponent"
default = (â– ,â– )
hint = "Overall exponent for the equation. (â– ,â– ) gives \
the classic NovaM type."
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 relax
caption = "Relaxation"
default = (â– ,â– )
hint = "This can be used to slow down the convergence of \
the formula."
endparam
param scale
caption = "Julia Density"
default = â– .â–
hint = "Specifies the density of separate Julia sets; higher \
numbers will produce more divisions."
endparam
param jscale
caption = "Julia Zoom"
default = â– .â–
hint = "Specifies the zoom level of Julia sets within each division."
endparam
}
TZâ– â– â– â– -â– â– {
;
;from TieraZonâ– fl-â– â– -â– â– .fll
;â– â– .) init t=sin(z); init z=â– ; z = z-(zâ– zâ– -tâ– zcos)/(â– â– zâ– -zsin)+c;
;
init:
z = â–
t = sin(z)
loop:
z = z - (z â– z^â– - t â– cos(z)) / (â– â– z^â– - sin(z)) + #pixel
bailout:
|z| < â–
}
