Fractal 142 B – Neon
Part of BEYOND series – 11 2023
awake . awarness . darkforces . darkness . light . neon
Fractal 142 B – zoom level 1
Fractal 142 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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 142 B - Neon - Part of BEYOND series - 11.2023

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– â– "
layer:
caption="Layer â– " opacity=â– â– â– mergemode=blue transparent=yes
mapping:
center=-â– .â– â– â– â– â– â– â– â– â– â– /â– magn=â– .â– â– â– â– â– â– â– â– angle=â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-gen-celtic-j" p_c=â– /â–
p_n=â– .â– â– p_bailout=â– â– â– â– .â– f_fnâ– =ident f_fnâ– =recip
inside:
transfer=none solid=â–
outside:
transfer=linear
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– index=â– â– â– color=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– â– mergemode=red transparent=yes
mapping:
center=â– .â– â– â– â– â– â– â– â– â– â– /â– magn=â– .â– â– â– â– â– â– â– â– angle=â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-gen-celtic-j" p_c=â– /â–
p_n=â– .â– â– p_bailout=â– â– â– â– .â– f_fnâ– =ident f_fnâ– =recip
inside:
transfer=none solid=â–
outside:
transfer=linear
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– index=â– â– â– color=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="Background" opacity=â– â– â– mergemode=hardlight transparent=yes
mapping:
center=â– .â– â– â– â– â– â– â– â– â– /â– magn=â– .â– â– â– â– â– â– â– â– angle=â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-gen-celtic-j" p_c=â– /â–
p_n=â– .â– â– p_bailout=â– â– â– â– .â– f_fnâ– =ident f_fnâ– =recip
inside:
transfer=none solid=â–
outside:
transfer=linear
gradient:
smooth=yes rotation=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– 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– mergemode=hardlight
mapping:
center=-â– .â– â– â– â– â– â– â– â– â– â– /â– magn=â– .â– â– angle=â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-gen-celtic-m" p_n=â–
p_bailout=â– â– â– â– .â– f_fnâ– =sinh f_fnâ– =trunc
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=linear
gradient:
smooth=yes rotation=â– â– index=â– â– â– color=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– 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– 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="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– magn=â– â– â– .â– â– â– â– â– angle=â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-barnsleyish-j"
p_c=â– .â– â– /â– .â– â– â– â– â– p_threshold=â– p_bailout=â– .â– f_fnâ– =cos
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-â– â– â– index=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– index=-â– â– color=â– â– â– â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
}
mt-gen-celtic-j { ; Mark Townsend, â– â– Jun â– â– â– â–
;
; From a formula by Paul Carlson
;
init:
z = #pixel
loop:
z = z^@n
z = z - @fnâ– (real(z)) + @fnâ– (real(z)) - @c
bailout:
|z| < @bailout
default:
title = "Generalized Celtic Julia"
param @c
caption = "Julia seed"
default = (â– ,â– )
endparam
param n
caption = "Exponent"
default = â– .â–
endparam
param bailout
caption = "Bailout value"
default = â– â– â– â– .â–
endparam
func fnâ–
caption = "First function"
default = ident()
endfunc
func fnâ–
caption = "Second function"
default = abs()
endfunc
switch:
type = "mt-gen-celtic-m"
bailout = bailout
n = n
fnâ– = fnâ–
fnâ– = fnâ–
}
mt-gen-celtic-m { ; Mark Townsend, â– â– Jun â– â– â– â–
;
; From a formula by Paul Carlson
;
init:
c = #pixel
z = â–
loop:
z = z^@n
z = z - @fnâ– (real(z)) + @fnâ– (real(z)) - c
bailout:
|z| < @bailout
default:
title = "Generalized Celtic Mset"
param n
caption = "Exponent"
default = â– .â–
endparam
param bailout
caption = "Bailout value"
default = â– â– â– â– .â–
endparam
func fnâ–
caption = "First function"
default = ident()
endfunc
func fnâ–
caption = "Second function"
default = abs()
endfunc
switch:
type = "mt-gen-celtic-j"
c = #pixel
n = n
bailout = bailout
fnâ– = fnâ–
fnâ– = fnâ–
}
mt-barnsleyish-j { ; Mark Townsend, â– â– May â– â– â– â–
init:
z = #pixel
loop:
if real(z) >= @threshold
z = @fnâ– (z + â– ) â– -@c
else
z = @fnâ– (z - â– ) â– @c
endif
bailout:
|z| < @bailout
default:
title = "Barnsleyish Julia"
param c
caption = "Julia Seed"
default = (â– .â– , â– .â– â– )
endparam
param threshold
caption = "Threshold"
default = â– .â–
endparam
param bailout
caption = "Bailout Value"
default = â– .â–
endparam
func fnâ–
caption = "Function"
default = cos()
endfunc
switch:
type = "mt-barnsleyish-m"
bailout = bailout
threshold = threshold
fnâ– = fnâ–
}