Fractal 137 B – Phenomenon Into Vacuity

Part of OUTER SPACE series – 09 2023

emptiness . event . happen . phenomenon . vacuity . vipassana
Fractal 137 B - Phenomenon Into Vacuity

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 In each case, the numerical characters have been replaced by ■ to prevent unauthorized reproduction.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 137 B - Phenomenon Into Vacuity - Part of OUTER SPACE series - 09.2023

Fractal 137 B - Phenomenon Into Vacuity

Fractal_■■■_B {
fractal:
  title="Fractal_■■■_B" width=■■■■ height=■■■■ layers=■
  credits="Philoxerax;■■/■/■■■■"
layer:
  caption="Background" opacity=■■ mergemode=screen 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=yes p_zc_inverse=yes p_ztype=Real p_scatter=yes
  f_function■=tanh f_function■=ident
inside:
  transfer=none solid=■■■■■■■■■■
outside:
  transfer=linear
gradient:
  comments="Default Ultra Fractal gradient." smooth=yes rotation=■■
  index=■■ color=■ index=■■ color=■■■■■■■■ index=■■■ color=■■■■■■■■
  index=■■■ color=■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Layer ■" opacity=■■■ mergemode=screen 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=yes p_zc_inverse=no p_ztype=Real p_scatter=yes
  f_function■=atan f_function■=ident
inside:
  transfer=none solid=■■■■■■■■■■
outside:
  transfer=linear
gradient:
  comments="Default Ultra Fractal gradient." smooth=yes rotation=■■
  index=■■ color=■ index=■■ color=■■■■■■■■ index=■■■ color=■■■■■■■■
  index=■■■ color=■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Background" opacity=■■ mergemode=multiply 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=yes
  p_zc_inverse=no p_ztype=Real p_scatter=yes f_function■=atan
  f_function■=ident
inside:
  transfer=none solid=■■■■■■■■■■
outside:
  transfer=linear
gradient:
  comments="Default Ultra Fractal gradient." smooth=yes rotation=■■
  index=■■ color=■■■■■■■■ index=■■ color=■■■■■■■■ index=■■■
  color=■■■■■■■■ index=■■■ color=■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Layer ■" opacity=■■ mergemode=overlay precision=■■
mapping:
  center=■.■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■ magn=■■■■.■■■■
  angle=-■■■.■■■■
formula:
  maxiter=■■■■■ filename="mt.ufm" entry="mt-rudys-cubic-m" p_p■=■/■
  p_bailout=■■■■ f_fn■=sqrt
inside:
  transfer=none
outside:
  transfer=linear
gradient:
  smooth=yes rotation=■■ index=■■ color=■■■■■■■ index=■■
  color=■■■■■■■■ index=■■■ color=■■■■■■■ index=■■■ color=■■■■■■■
  index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■■■ index=■■■
  color=■■■■■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Background" opacity=■■ mergemode=saturation precision=■■
mapping:
  center=■.■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■ magn=■■■■.■■■■
  angle=-■■■.■■■■
formula:
  maxiter=■■■■■ filename="mt.ufm" entry="mt-rudys-cubic-m" p_p■=■/■
  p_bailout=■■■■ f_fn■=sqrt
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=■■■
mapping:
  center=■.■■■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■■■■ magn=■■■■■.■■■
  angle=-■■■.■■■■
formula:
  maxiter=■■■■■ filename="mt.ufm" entry="mt-rudys-cubic-m" p_p■=■/■
  p_bailout=■■■■ f_fn■=sqrt
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=■■■■■■■
opacity:
  smooth=no index=■ opacity=■■■
}

 ;(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■
}

mt-rudys-cubic-m {
; Mark Townsend, ■■ May ■■■■
; From a Fractint formula that I wrote in January ■■■■
init:  
  #z = #pixel
  k■ = @p■ ■ ■
loop:
  #z = @fn■(#z^■) - k■ ■ #z + #pixel
bailout:    
  |#z|< @bailout
default:
  title = "Rudy's Cubic (Mandelbrot)"
  param p■
    caption = "Coefficient"
  endparam  
  param bailout
    caption = "Bailout Value"
    default = ■■■.■
  endparam  
  func fn■
    caption = "Function"
    default = ident()
  endfunc   
switch:
  type = "mt-rudys-cubic"
  bailot = balout
  p■ = p■
  c = #pixel    
  fn■ = fn■
}
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