Fractal 061 B – Solid Light
Part of BEYOND series – 01 2022
angel . bright . death . light . shiny . silver . soul . spirit
Fractal 061 B – zoom level 1
Fractal 061 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 In each case, the numerical characters have been replaced by â– to prevent unauthorized reproduction.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 061 B - Solid Light - Part of BEYOND series - 01.2022
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– 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– magn=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– â– p_bailout=â– â– â– .â– f_fnâ– =sqr f_fnâ– =abs
inside:
transfer=none
outside:
transfer=linear
gradient:
smooth=yes rotation=-â– â– index=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– 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=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– magn=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– â– p_bailout=â– â– â– .â– f_fnâ– =sqr f_fnâ– =abs
inside:
transfer=none
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="Layer â– " opacity=â– â– mergemode=multiply precision=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– 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– Eâ– â– angle=â– â– .â– â– â– â–
formula:
maxiter=â– â– percheck=conservative adjust=yes filename="Standard.ufm"
entry="FastMandel" p_start=â– /â– p_bailout=â– .â–
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=linear filename="Standard.ucl" entry="Smooth" p_power=â– /â–
p_bailout=â– â– â– .â–
gradient:
smooth=yes rotation=-â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=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– 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=multiply precision=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– 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– Eâ– â– angle=â– â– .â– â– â– â–
formula:
maxiter=â– â– percheck=conservative filename="Standard.ufm"
entry="FastMandel" p_start=â– /â– p_bailout=â– .â–
inside:
transfer=none
outside:
transfer=linear filename="Standard.ucl" entry="Smooth" p_power=â– /â–
p_bailout=â– â– â– .â–
gradient:
smooth=yes rotation=-â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=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– 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=screen precision=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– 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– Eâ– â– angle=â– â– .â– â– â– â–
formula:
maxiter=â– â– percheck=conservative filename="Standard.ufm"
entry="FastMandel" p_start=â– /â– p_bailout=â– .â–
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– â–
outside:
transfer=linear filename="Standard.ucl" entry="Smooth" p_power=â– /â–
p_bailout=â– â– â– .â–
gradient:
smooth=yes rotation=-â– â– â– index=â– â– color=â– â– â– â– â– â– â– â– index=â– â– â– color=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– 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– precision=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– magn=â– .â– â– â– â– â– â– â– angle=â– .â– â– â– â–
formula:
maxiter=â– â– â– percheck=off filename="asz.ufm" entry="andrextrandom-â– "
p_base=-â– .â– â– /-â– .â– p_baseâ– =â– .â– â– /â– .â– â– p_random_strength=â– .â–
p_bailout=â– Eâ– p_bailout_mode="|z/c|" p_zc_mode=Multiply
p_zc_absolute=no p_zc_inverse=no p_ztype=Real p_scatter=yes
f_functionâ– =cos f_functionâ– =ident
inside:
transfer=none solid=â– â– â– â– â– â– â– â– â– 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– 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– â– index=â– â– â– color=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–
}
FastMandel (XAXIS_NOPARM) {
;
; Built-in fast Mandelbrot set.
;
builtin:
type = â–
default:
title = "Mandelbrot (Built-in)"
helpfile = "Ufâ– .chm"
helptopic = "Html\formulas\standard\mandelbrot-builtin.html"
center = (-â– .â– , â– )
param start
caption = "Starting point"
default = (â– ,â– )
hint = "The starting point parameter can be used to distort the Mandelbrot \
set. Use (â– , â– ) for the standard Mandelbrot set."
endparam
param bailout
caption = "Bailout value"
default = â– .â–
min = â– .â–
$IFDEF VERâ– â–
exponential = true
$ENDIF
hint = "This parameter defines how soon an orbit bails out while \
iterating. Larger values give smoother outlines; values around â– \
give more interesting shapes around the set. Values less than â– \
will distort the fractal."
endparam
switch:
type = "FastJulia"
seed = #pixel
bailout = bailout
}
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–
}
andrextrandom-â– { ;(c) by Andras Szolek
; The formula is the same as Andrextrandom-â– , only the
; defaults are the different. I made two for the easy
; switching.
init:
z = #pixel
random = z+(#random/(â– /(@random_strength/â– â– â– )))
c = z-#pixel^â– /â– +@baseâ– @baseâ– +â– .â– â–
zc = â–
if @zc_mode == â–
zc = zâ– c
elseif @zc_mode == â–
zc = z/c
elseif @zc_mode == â–
zc = z+c
elseif @zc_mode == â–
zc = z-c
elseif @zc_mode == â–
zc = z^c
endif
if @zc_mode == â– && @zc_inverse == true
zc = c/z
elseif @zc_mode == â– && @zc_inverse == true
zc = c-z
elseif @zc_mode == â– && @zc_inverse == true
zc = c^z
endif
if @zc_absolute == true
zc = |zc|
endif
b = â–
loop:
z = z/(@functionâ– (random))/(zc)+@base
z = zâ– (zc)+random
c = (z+c)â– â– +@base
z = @functionâ– (zâ– (sqrt(câ– @baseâ– )/@bailout)+zc)
if @scatter == true
z = z+((@baseâ– -@base)/â– â– â– )+zc
c = c-((c/flip(c))/(câ– real(c)))-zc
endif
if imag(z)>â–
z = real(z+@base)
elseif imag(z)>â–
z = flip(z+@base)
elseif imag(z)<â–
z = imag(z+@base)
elseif real(z)>â–
z = flip(z+@base)
elseif real(z)>â–
z = real(z+@base)
endif
if @scatter == true
if real(z)â– imag(z) < flip(z)
z = real(z)/imag(z)
endif
endif
if @ztype == â–
z = real(z)
elseif @ztype == â–
z = imag(z)
endif
if @bailout_mode == â–
b = zâ– c
elseif @bailout_mode == â–
b = |zâ– c|
elseif @bailout_mode == â–
b = z/c
elseif @bailout_mode == â–
b = |z/c|
elseif @bailout_mode == â–
b = z+c
elseif @bailout_mode == â–
b = |zâ– c|
elseif @bailout_mode == â–
b = z-c
elseif @bailout_mode == â–
b = |z-c|
elseif @bailout_mode == â–
b = z
elseif @bailout_mode == â–
b = |z|
elseif @bailout_mode == â– â–
b = c
elseif @bailout_mode == â– â–
b = |c|
else
b = zâ– c
endif
bailout:
b <= @bailout/â– â–
default:
title = "Andrextrandom - Switch #â– "
param base
caption = "Base, ''Seed'' #â– "
default = (-â– .â– â– ,-â– .â– )
endparam
param baseâ–
caption = "Base, ''Seed'' #â– "
default = (â– .â– â– ,â– .â– â– )
endparam
param random_strength
caption = "Random-intensity"
default = â– .â–
min = â– .â–
endparam
param bailout
caption = "Bailout"
default = â– Eâ–
endparam
param bailout_mode
caption = "Bailout Mode"
hint = "The bailout-process : ''this value'' < \
''bailout parameter /variant/''"
enum = "zâ– c" "|zâ– c|" "z/c" "|z/c|" "z+c" "|z+c|"\
"z-c" "|z-c|" "z" "|z|" "c" "|c|"
default = â–
endparam
param zc_mode
caption = "ZC - Mode"
enum = "Multiply" "Division" "Add" "Subtract"\
"Product"
endparam
param zc_absolute
caption = "ZC - Absolute"
hint = "It gives an absolute-result to the z ? c"
default = false
endparam
param zc_inverse
caption = "ZC - Inverse"
hint = "This function is working in ''Division'', \
''Subtract'' and ''Product'' ZC-Modes. How does \
it works? z/c -> c/z, z-c -> c-z and z^c -> c^z"
default = false
endparam
param ztype
caption = "Z Type"
enum = "Real" "Imag"
endparam
param scatter
caption = "Scatter"
default = true
endparam
func functionâ–
caption = "Function #â– "
default = cos()
endfunc
func functionâ–
caption = "Function #â– "
default = ident()
endfunc
periodicity = â–
switch:
type = "andrextrandom-â– "
base = #pixel
random_strength = random_strength
bailout = bailout
bailout_mode = bailout_mode
zc_mode = zc_mode
zc_absolute = zc_absolute
zc_inverse = zc_inverse
ztype = ztype
scatter = scatter
functionâ– = functionâ–
functionâ– = functionâ–
}
