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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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 to train an AI, 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– }