Fractal 114 G – Angel Egg
Part of BEYOND series – 04 2023
angel . fate . path . potential . truenature
Fractal 114 G – zoom level 1
Fractal 114 G – 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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 114 G - Angel Egg - Part of BEYOND series - 04.2023

Layers {
layer:
caption="Layer â– " opacity=â– â– â– mergemode=screen transparent=yes
mapping:
center=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="mt.ufm" entry="mt-barnsleyish-m"
p_threshold=â– .â– p_bailout=â– f_fnâ– =sqrt
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– 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–
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– magn=â– .â– â– â– â– â– â– â– angle=â– â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-barnsleyish-m" p_threshold=â–
p_bailout=â– f_fnâ– =sqrt
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–
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– â–
opacity:
smooth=no index=â– opacity=â– â– â–
layer:
caption="Layer â– " opacity=â– â– â– mergemode=difference
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– â– angle=-â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-ifs-dragon-j"
p_bailout=â– â– â– â– .â– p_c=â– /â–
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-â– â– â– index=â– â– color=â– â– â– â– â– index=â– â– â– color=â– â– â–
index=-â– â– â– color=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="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– magn=â– .â– â– â– â– â– â– â– â– angle=-â– â– â– .â– â– â– â–
formula:
maxiter=â– â– â– filename="mt.ufm" entry="mt-ifs-dragon-j"
p_bailout=â– â– â– â– .â– p_c=â– /â–
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-â– â– â– index=â– â– color=â– â– â– â– â– index=â– â– â– color=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–
color=â– â– â– â– â– â– â– â–
opacity:
smooth=no index=â– opacity=â– â– â–
}
mt-barnsleyish-m { ; Mark Townsend, â– â– May â– â– â– â–
init:
z = â–
loop:
if real(z) >= @threshold
z = @fnâ– (z + â– ) â– -#pixel
else
z = @fnâ– (z - â– ) â– #pixel
endif
bailout:
|z| < @bailout
default:
title = "Barnsleyish Mset"
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-j"
bailout = bailout
threshold = threshold
c = #pixel
fnâ– = fnâ–
}
mt-ifs-dragon-j { ; Mark Townsend, â– Jun â– â– â– â–
;
; Escape time IFS fractal - this one is from
; Fractint.ifs. Modified from a Fractint formula
; created with IfsInv (program by Ramiro Perez).
;
init:
aâ– = â– .â– â– â– â– â– , bâ– = â– .â– â– â– â– â– , câ– = -â– .â– â– â– â– â– , dâ– = â– .â– â– â– â– â–
aâ– = â– .â– â– â– â– â– , bâ– = â– .â– â– â– â– â– , câ– = -â– .â– â– â– â– â– , dâ– = -â– .â– â– â– â– â–
alâ– = â– .â– â– â– â– â– , kâ– = â– .â– â– â– â– â– , lâ– = â– .â– â– â– â– â–
alâ– = â– .â– â– â– â– â– , kâ– = â– .â– â– â– â– â– , lâ– = -â– .â– â– â– â– â–
float opâ– = â–
float opâ– = â–
z = #pixel
loop:
x = real(z)
y = imag(z)
oâ– = (dâ– â– x - bâ– â– y + kâ– ) / alâ– + flip((-câ– â– x + aâ– â– y + lâ– ) / alâ– )
opâ– = |oâ– - @c|
oâ– = (dâ– â– x - bâ– â– y + kâ– ) / alâ– + flip((-câ– â– x + aâ– â– y + lâ– ) / alâ– )
opâ– = |oâ– - @c|
if (opâ– <= opâ– )
z = oâ–
else
z = oâ–
endif
bailout:
|z| <= @bailout
default:
title = "IFS Dragon Julia"
center = (â– ,â– )
magn = â– .â–
param bailout
caption = "Bailout value"
default = â– â– â– â– .â–
endparam
param c
caption = "Julia seed"
default = (â– ,â– )
endparam
switch:
type = "mt-ifs-dragon-m"
bailout = bailout
}