Fractal 061 B – Solid Light

Part of BEYOND series – 01 2022

angel . bright . death . light . shiny . silver . soul . spirit
Fractal 061 B - Solid Light
Fractal 061 B zoom1

Fractal 061 B – zoom level 1

Fractal 061 B zoom2

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 In each case, the numerical characters have been replaced by ■ to prevent unauthorized reproduction.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

Fractal 061 B - Solid Light - Part of BEYOND series - 01.2022

Fractal 061 B - Solid Light

Fractal_■■■_B {
fractal:
  title="Fractal_■■■_B" width=■■■■ height=■■■■ layers=■
  credits="Philoxerax;■■/■■/■■■■"
layer:
  caption="Layer ■" opacity=■■ mergemode=screen
mapping:
  center=■.■■■■■■■■■■■■/■.■■■■■■■■■■■ magn=■.■■■■■■■ angle=■■■
formula:
  maxiter=■■■ filename="mt.ufm" entry="mt-gen-celtic-j" p_c=■/■
  p_n=■.■■■ p_bailout=■■■.■ f_fn■=sqr f_fn■=abs
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="Background" opacity=■■■ mergemode=screen
mapping:
  center=■.■■■■■■■■■■■■/■.■■■■■■■■■■■ magn=■.■■■■■■■ angle=■■■
formula:
  maxiter=■■■ filename="mt.ufm" entry="mt-gen-celtic-j" p_c=■/■
  p_n=■.■■■ p_bailout=■■■.■ f_fn■=sqr f_fn■=abs
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 precision=■■
mapping:
  center=-■.■■■■■■■■■■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■■■■■■■■■■■■■
  magn=■.■■■■■■■E■■ angle=■■.■■■■
formula:
  maxiter=■■ percheck=conservative adjust=yes filename="Standard.ufm"
  entry="FastMandel" p_start=■/■ p_bailout=■.■
inside:
  transfer=none solid=■■■■■■■■■■
outside:
  transfer=linear filename="Standard.ucl" entry="Smooth" p_power=■/■
  p_bailout=■■■.■
gradient:
  smooth=yes rotation=-■■■ index=■■ color=■■■■■■■■ index=■■■ color=■
  index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■■■ index=-■■■
  color=■■■■■■■ index=-■■ color=■■■■■■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Layer ■" opacity=■■ mergemode=multiply precision=■■
mapping:
  center=-■.■■■■■■■■■■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■■■■■■■■■■■■■
  magn=■.■■■■■■■E■■ angle=■■.■■■■
formula:
  maxiter=■■ percheck=conservative filename="Standard.ufm"
  entry="FastMandel" p_start=■/■ p_bailout=■.■
inside:
  transfer=none
outside:
  transfer=linear filename="Standard.ucl" entry="Smooth" p_power=■/■
  p_bailout=■■■.■
gradient:
  smooth=yes rotation=-■■■ index=■■ color=■■■■■■■■ index=■■■ color=■
  index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■■■ index=-■■■
  color=■■■■■■■ index=-■■ color=■■■■■■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Background" opacity=■■■ mergemode=screen precision=■■
mapping:
  center=-■.■■■■■■■■■■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■■■■■■■■■■■■■
  magn=■.■■■■■■■E■■ angle=■■.■■■■
formula:
  maxiter=■■ percheck=conservative filename="Standard.ufm"
  entry="FastMandel" p_start=■/■ p_bailout=■.■
inside:
  transfer=none solid=■■■■■■■■■■
outside:
  transfer=linear filename="Standard.ucl" entry="Smooth" p_power=■/■
  p_bailout=■■■.■
gradient:
  smooth=yes rotation=-■■■ index=■■ color=■■■■■■■■ index=■■■ color=■
  index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■ index=-■■■
  color=■■■■■■■ index=-■■ color=■■■■■■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Background" opacity=■■■ precision=■
mapping:
  center=■■.■■■■■■■■/■.■■■■■■■■■■■ magn=■.■■■■■■■ angle=■.■■■■
formula:
  maxiter=■■■ percheck=off filename="asz.ufm" entry="andrextrandom-■"
  p_base=-■.■■/-■.■ p_base■=■.■■/■.■■ p_random_strength=■.■
  p_bailout=■E■ p_bailout_mode="|z/c|" p_zc_mode=Multiply
  p_zc_absolute=no p_zc_inverse=no p_ztype=Real p_scatter=yes
  f_function■=cos f_function■=ident
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=■■■■■■■
opacity:
  smooth=no index=■ opacity=■■■
}

FastMandel (XAXIS_NOPARM) {
;
; Built-in fast Mandelbrot set.
;
builtin:
  type = ■
default:
  title = "Mandelbrot (Built-in)"
  helpfile = "Uf■.chm"
  helptopic = "Html\formulas\standard\mandelbrot-builtin.html"
  center = (-■.■, ■)
  param start
    caption = "Starting point"
    default = (■,■)
    hint = "The starting point parameter can be used to distort the Mandelbrot \
            set. Use (■, ■) for the standard Mandelbrot set."
  endparam
  param bailout
    caption = "Bailout value"
    default = ■.■
    min = ■.■
$IFDEF VER■■
    exponential = true
$ENDIF
    hint = "This parameter defines how soon an orbit bails out while \
            iterating. Larger values give smoother outlines; values around ■ \
            give more interesting shapes around the set. Values less than ■ \
            will distort the fractal."
  endparam
switch:
  type = "FastJulia"
  seed = #pixel
  bailout = bailout
}

mt-gen-celtic-j { ; Mark Townsend, ■■ Jun ■■■■
;
; From a formula by Paul Carlson
;
init:
  z = #pixel
loop:
  z = z^@n 
  z = z - @fn■(real(z)) + @fn■(real(z)) - @c
bailout:
  |z| < @bailout
default:
  title = "Generalized Celtic Julia"
  param @c
    caption = "Julia seed"
    default = (■,■)
  endparam
  param n
    caption = "Exponent"
    default = ■.■
  endparam  
  param bailout
    caption = "Bailout value"
    default = ■■■■.■
  endparam
  func fn■
    caption = "First function"
    default = ident()
  endfunc
  func fn■
    caption = "Second function"
    default = abs()
  endfunc
switch:
  type = "mt-gen-celtic-m"
  bailout = bailout  
  n = n
  fn■ = fn■
  fn■ = fn■
}

andrextrandom-■{ ;(c) by Andras Szolek
; The formula is the same as Andrextrandom-■, only the
; defaults are the different. I made two for the easy
; switching.

init:
  z = #pixel
  random = z+(#random/(■/(@random_strength/■■■)))
  c = z-#pixel^■/■+@base■@base■+■.■■
  zc = ■

 if @zc_mode == ■
  zc = z■c
 elseif @zc_mode == ■
  zc = z/c
 elseif @zc_mode == ■
  zc = z+c
 elseif @zc_mode == ■
  zc = z-c
 elseif @zc_mode == ■
  zc = z^c
 endif

 if @zc_mode == ■ && @zc_inverse == true
  zc = c/z
 elseif @zc_mode == ■ && @zc_inverse == true
  zc = c-z
 elseif @zc_mode == ■ && @zc_inverse == true
  zc = c^z
 endif

 if @zc_absolute == true
  zc = |zc|
 endif

 b = ■

loop:

  z = z/(@function■(random))/(zc)+@base
  z = z■(zc)+random
  c = (z+c)■■+@base

  z = @function■(z■(sqrt(c■@base■)/@bailout)+zc)

 if @scatter == true
  z = z+((@base■-@base)/■■■)+zc
  c = c-((c/flip(c))/(c■real(c)))-zc
 endif

 if imag(z)>■
  z = real(z+@base)
 elseif imag(z)>■
  z = flip(z+@base)
 elseif imag(z)<■
  z = imag(z+@base)
 elseif real(z)>■
  z = flip(z+@base)
 elseif real(z)>■
  z = real(z+@base)
  endif
  
 if @scatter == true
 if real(z)■imag(z) < flip(z)
  z = real(z)/imag(z)
 endif
 endif

 if @ztype == ■
  z = real(z)
 elseif @ztype == ■
  z = imag(z)
 endif

 if @bailout_mode == ■
  b = z■c
 elseif @bailout_mode == ■
  b = |z■c|
 elseif @bailout_mode == ■
  b = z/c
 elseif @bailout_mode == ■
  b = |z/c|
 elseif @bailout_mode == ■
  b = z+c
 elseif @bailout_mode == ■
  b = |z■c|
 elseif @bailout_mode == ■
  b = z-c
 elseif @bailout_mode == ■
  b = |z-c|
 elseif @bailout_mode == ■
  b = z
 elseif @bailout_mode == ■
  b = |z|
 elseif @bailout_mode == ■■
  b = c
 elseif @bailout_mode == ■■
  b = |c|
 else
  b = z■c
 endif

bailout:
  b <= @bailout/■■

default:
 title = "Andrextrandom - Switch #■"

 param base
  caption = "Base, ''Seed'' #■"
  default = (-■.■■,-■.■)
 endparam

 param base■
  caption = "Base, ''Seed'' #■"
  default = (■.■■,■.■■)
  endparam

 param random_strength
  caption = "Random-intensity"
  default = ■.■
  min = ■.■
 endparam

 param bailout
  caption = "Bailout"
  default = ■E■
 endparam

 param bailout_mode
  caption = "Bailout Mode"
  hint = "The bailout-process : ''this value'' < \
  ''bailout parameter /variant/''"
  enum = "z■c" "|z■c|" "z/c" "|z/c|" "z+c" "|z+c|"\
  "z-c" "|z-c|" "z" "|z|" "c" "|c|"
  default = ■
 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 function■
  caption = "Function #■"
  default = cos()
 endfunc

 func function■
  caption = "Function #■"
  default = ident()
 endfunc

 periodicity = ■

switch:
 type = "andrextrandom-■"
 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
 function■ = function■
 function■ = function■
}
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