Fractal 021 B – Gravity

Part of OUTER SPACE series – 09 2021

abyss . color . gradient . gravity . grey . rainbow . wave
Fractal 021 B | Gravity
Fractal 021 B zoom1

Fractal 021 B – zoom level 1

Fractal 021 B zoom2

Fractal 021 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 In each case, the numerical characters have been replaced by ■ to prevent unauthorized reproduction.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 021 B - Gravity - Part of OUTER SPACE series - 09.2021

Fractal 021 B | Gravity

Layers {
layer:
  caption="Background" opacity=■■■
mapping:
  center=-■.■■■■■■■■■■■■■/■.■■■■■■■■■■■■ magn=■■■.■■■■■ angle=-■.■■■
formula:
  maxiter=■■■ filename="Standard.ufm" entry="Mandelbrot" p_start=■/■
  p_power=■/■ p_bailout=■■■
inside:
  transfer=none offset=■■■ repeat=no solid=■■■■■■■■■■
outside:
  transfer=cube solid=■■■■■■■■■■ 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=■■■■■■■■ index=■■
  color=■■■■■■■■ index=■■ color=■■■■■■■■ index=■■ color=■■■■■■■
  index=■■ color=■■■■■■■ index=■■ color=■■■■■■■■ index=■■
  color=■■■■■■■■ index=■■■ color=■■■■■ index=■■■ color=■■■■■■■■
  index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■■■ index=■■■
  color=■■■■■■■■ index=■■■ color=■■■■■■■■ index=■■■ color=■■■■■■■■
  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=■■■
}

Mandelbrot {
;
; Generic Mandelbrot set.
;
init:
  z = @start
loop:
  z = z^@power + #pixel
bailout:
  |z| <= @bailout

$IFDEF VER■■
perturbinit:
  #dz = ■
perturbloop:
  if @power == (■, ■)
    #dz = ■ ■ #z ■ #dz + sqr(#dz) + #dpixel
  elseif @power == (■, ■)
    complex z■ = sqr(#z)
    complex dz■ = sqr(#dz)
    #dz = ■ ■ z■ ■ #dz + ■ ■ #z ■ dz■ + #dz ■ dz■ + #dpixel
  else ; power ■
    complex z■ = sqr(#z)
    complex dz■ = sqr(#dz)
    complex zdz■ = ■■#z■#dz
    #dz = #dpixel + zdz■■z■ + ■■z■■dz■ + zdz■■dz■ + sqr(dz■)
  endif
$ENDIF

default:
  title = "Mandelbrot"
  center = (-■.■, ■)
  helpfile = "Uf■.chm"
  helptopic = "Html\formulas\standard\mandelbrot.html"
$IFDEF VER■■
  rating = recommended
$ENDIF
$IFDEF VER■■
  perturb = @power == (■, ■) || @power == (■, ■) || @power == (■, ■)
$ENDIF
  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 power
    caption = "Power"
    default = (■,■)
    hint = "This parameter sets the exponent for the Mandelbrot formula. \
            Increasing the real part to ■, ■, and so on, will add discs to \
            the Mandelbrot figure. Non-integer real values and non-zero \
            imaginary values will create distorted Mandelbrot sets. Use (■, ■) \
            for the standard Mandelbrot set."
  endparam
  float 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 = "Julia"
  seed = #pixel
  power = power
  bailout = bailout
}
not generated by AI logo