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 In each case, the numerical characters have been replaced by ■ to prevent unauthorized reproduction. If you are interested in using the full data set to train an AI, please contact Philippe.

Layers {
layer:
caption="Background" opacity=■■■ mergemode=green
mapping:
center=-■.■■■■■■■■■/-■.■■■■■■■■■■ magn=■.■■■■■■■■ angle=-■■.■■■■
formula:
maxiter=■■■ percheck=off filename="mt.ufm" entry="mt-zeepop-m"
p_h=■.■/■ p_bailout=■■■ p_epsilon=■E-■ f_fn■=cotanh f_fn■=flip
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-■■ index=■■ color=■■■■■■■■ index=■■■
color=■■■■■ index=■■■ color=■■■ index=-■■ color=■■■■■■■
opacity:
smooth=no index=■ opacity=■■■
layer:
caption="Layer ■" opacity=■■■ mergemode=multiply transparent=yes
mapping:
center=-■.■■■■■■■■■/-■.■■■■■■■■■■ magn=■.■■■■■■■■ angle=-■■.■■■■
formula:
maxiter=■■■ percheck=off filename="mt.ufm" entry="mt-zeepop-m"
p_h=■.■/■ p_bailout=■■■ p_epsilon=■E-■ f_fn■=cotanh f_fn■=flip
inside:
transfer=none solid=■
outside:
transfer=linear
gradient:
smooth=yes rotation=■■ index=■ color=■ index=■■■ color=■■■■■■■■
index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■■■■
opacity:
smooth=no index=■ opacity=■■■
layer:
caption="Background" opacity=■■ mergemode=difference
mapping:
center=-■.■■■■■■■■■■/-■.■■■■■■■■■ magn=■.■■■■■■■■ angle=-■■.■■■■
formula:
maxiter=■■■ filename="mt.ufm" entry="mt-latoocarfian-ii" p_ab=-■/■■■
p_cd=■/■ p_epsilon=■.■
inside:
transfer=none solid=■■■■■■■■■■
outside:
transfer=linear
gradient:
smooth=yes rotation=■■■ index=■■■ color=■■■■■■■ index=■■■
color=■■■■■■■ index=■■■ color=■■■■■■■ index=■■■ color=■■■■■■
index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■ index=■■■ color=■■■■■
index=■■■ color=■■■■■■■ index=■■■ color=■■■■■■■ index=■■■
color=■■■■■ index=■■■ color=■■■■■■
opacity:
smooth=no index=■ opacity=■■■
layer:
caption="Background" opacity=■■ mergemode=blue
mapping:
center=-■.■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■ magn=■■.■■■■■■
angle=-■.■■■■
formula:
maxiter=■■■ percheck=off filename="mt.ufm" entry="mt-zeepop-j"
p_c=-■/■ p_h=■.■/■ p_bailout=■■■.■ p_epsilon=■E-■ f_fn■=ceil
f_fn■=tan
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-■■ index=■■ color=■■■■■■■■ index=■■■
color=■■■■■ index=■■■ color=■■■■■■ index=■■■ color=■■■ index=-■■
color=■■■■■
opacity:
smooth=no index=■ opacity=■■■
layer:
caption="Background" opacity=■■
mapping:
center=■.■■■■■■■■■■/-■.■■■■■■■■■ magn=■.■■■■■■■■ angle=-■■■.■■■■
formula:
maxiter=■■■ percheck=off filename="mt.ufm" entry="mt-zeepop-j"
p_c=-■■/■■ p_h=■.■/■ p_bailout=■■■.■ p_epsilon=■E-■ f_fn■=ceil
f_fn■=tan
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-■■ index=■ color=■■■■■ index=■■ color=■■■■■■■
index=■■ color=■■■■■■■ index=■■ color=■■■■■ index=■■ color=■■■■■■
index=■■■ color=■■■■■■■ index=■■■ color=■■■■■■■ index=■■■
color=■■■■■■■ index=-■■■ color=■■■■■ index=-■■ color=■■■■■■■
index=-■■ color=■■■■■
opacity:
smooth=no index=■ opacity=■■■
}

mt-zeepop-m { ; Mark Townsend, ■ May ■■■■
init:
c = #pixel
z = sqr(■ - #pixel)
oldz = ■
loop:
oldz = z
z = z - @h * @fn■(z + @fn■(c * z))
bailout:
|z - oldz| > @epsilon
default:
title = "Zeepop Mset"
periodicity = ■
param h
caption = "Step Size"
default = (■.■,■)
endparam 
param bailout
caption = "Bailout Value"
default = ■■■
endparam 
param epsilon
caption = "Epsilon"
default = ■e-■
endparam 
func fn■
caption = "Function #■"
default = sin()
endfunc 
func fn■
caption = "Function #■"
default = tan()
endfunc 
switch:
type = "mt-zeepop-j"
c = #pixel
h = h
fn■ = fn■
fn■ = fn■
bailout = bailout
epsilon = epsilon
}
init:
float xnew = ■
float ynew = ■
float a = real(@ab)
float b = imag(@ab)
float c = real(@cd)
float d = imag(@cd)
float x = real(#pixel)
float y = imag(#pixel)
loop:
xnew = sin(y * b) + c * sin(x * b)
ynew = sin(x * a) + d * sin(y * a)
x = xnew
y = ynew
#z = x + flip(y)
bailout:
|#z - #pixel| > @epsilon
default:
title = "Latööcarfian II"
magn = ■.■
param ab
caption = "(a, b)"
default = (-■.■■■■■■, ■.■■■■■■)
endparam 
param cd
caption = "(c, d)"
default = (■.■■■■■■, ■.■■■■■■)
endparam 
param epsilon
caption = "Epsilon"
default = ■.■
endparam 
}
mt-zeepop-j { ; Mark Townsend, ■ May ■■■■
init:
z = #pixel
oldz = ■
loop:
oldz = z
z = z - @h * @fn■(z + @fn■(@c * z))
bailout:
|z| < @bailout && |z - oldz| > @epsilon
default:
title = "Zeepop Julia"
periodicity = ■
param c
caption = "Julia Seed"
default = (■,■)
endparam
param h
caption = "Step Size"
default = (■.■,■)
endparam 
param bailout
caption = "Bailout Value"
default = ■■■.■
endparam 
param epsilon
caption = "Epsilon"
default = ■e-■
endparam 
func fn■
caption = "Function #■"
default = sin()
endfunc 
func fn■
caption = "Function #■"
default = tan()
endfunc 
switch:
type = "mt-zeepop-m"
h = h
fn■ = fn■
fn■ = fn■
bailout = bailout
epsilon = epsilon
}