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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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