Fractal 035 A – Muslim Heaven

Part of BEYOND series – 10 2021

abundance . gold . heaven . light . muslim . paradise . richness . spirit . spirituality
Fractal 035 A | Muslim Paradise
Fractal 035 A zoom1

Fractal 035 A – zoom level 1

Fractal 035 A zoom2

Fractal 035 A – 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 In each case, the numerical characters have been replaced by ■ to prevent unauthorized reproduction.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 035 A - Muslim Heaven - Part of BEYOND series - 10.2021

Fractal 035 A | Muslim Paradise

Fractal_■■■_A {
fractal:
  title="Fractal_■■■_A" width=■■■■ height=■■■■ layers=■
  credits="Philoxerax;■■/■/■■■■" antialiasing=yes
layer:
  caption="Layer ■" opacity=■■ mergemode=subtraction method=multipass
mapping:
  center=-■■.■■■■■■■■■/-■.■■■■■■■■■■ magn=■.■■■■■■■■ angle=■■.■■■■
formula:
  maxiter=■■■ percheck=off filename="ldm.ufm" entry="DM■■" f_fn■=sin
  f_fn■=cos f_fn■=sin p_p■=.■■/■
inside:
  transfer=none
outside:
  transfer=linear
gradient:
  smooth=yes index=■ color=■ index=■■■ color=■■■■■■■■ index=■■■
  color=■■■■■ index=■■■ color=■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Background" opacity=■■■ mergemode=subtraction
  method=multipass
mapping:
  center=-■■.■■■■■■■■■/-■.■■■■■■■■■■ magn=■.■■■■■■■■ angle=■■.■■■■
formula:
  maxiter=■■■ percheck=off filename="ldm.ufm" entry="DM■■" f_fn■=sin
  f_fn■=cos f_fn■=sin p_p■=.■■/■
inside:
  transfer=none
outside:
  transfer=linear
gradient:
  smooth=yes index=■ color=■ index=■■■ color=■■■■■■■■ index=■■■
  color=■■■■■ index=■■■ color=■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Layer ■" opacity=■■■ mergemode=green
mapping:
  center=-■.■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■■ magn=■■■.■■■■■
  angle=-■■■.■■■■
formula:
  maxiter=■■■■ percheck=off filename="dmj.ufm" entry="dmj-DNovaMandel"
  p_start=■/■ p_power■=■/■ p_power■=■/■ p_coeff■=■/■ p_coeff■=-■/■
  p_bailout=■.■■■■■ p_usecritical=no p_relax=■/■
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=■■■
opacity:
  smooth=no index=■ opacity=■■■
layer:
  caption="Background" opacity=■■■
mapping:
  center=-■.■■■■■■■■■■■■■■/■.■■■■■■■■■■■■■■■ magn=■■■.■■■■■
  angle=-■■■.■■■■
formula:
  maxiter=■■■■ percheck=off filename="dmj.ufm" entry="dmj-DNovaMandel"
  p_start=■/■ p_power■=■/■ p_power■=■/■ p_coeff■=■/■ p_coeff■=-■/■
  p_bailout=■.■■■■■ p_usecritical=no p_relax=■/■
inside:
  transfer=none
outside:
  transfer=linear
gradient:
  smooth=yes index=■ color=■■ index=■■ color=■■■■■■■ index=■■
  color=■■■■■■■■ index=■■ color=■■■ index=■■ color=■■■■■■■■ index=■■■
  color=■■■■■ index=■■■ color=■■■■■■■ index=■■■ color=■■■■■ index=■■■
  color=■■■
opacity:
  smooth=no index=■ opacity=■■■
}

DM■■ {
init:
  z = pixel
loop:
  a=fn■(z)
  b=a+p■
  c=fn■((a-p■)/b)
  d=c^■/p■
  w=a/b/c■(d+p■)
  z=fn■(w/z^p■)
bailout:
  |z| <= ■
default:
  method = multipass
  periodicity = ■
  param p■
  default=(.■■,■)
  endparam
  
  func fn■
  default=cos()
  endfunc
}

dmj-DNovaMandel {
;
; This is the DoubleNova fractal (Mandelbrot form),
; a modified Newtonian-style fractal. DoubleNova is
; like Nova, but with two terms instead of one.
;
init:
  complex zold = (■,■)
  
  z = @start
  IF (@usecritical)
    z = ( -((@power■-■)■@power■■@coeff■) / \
           ((@power■-■)■@power■■@coeff■) ) ^ (■/(@power■-@power■))
  ENDIF
  
loop:
  zold = z
  z = z - (@coeff■■z^@power■ + @coeff■■z^@power■ - ■) ■ @relax / \
          (@coeff■■@power■■z^(@power■-■) + @coeff■■@power■■z^(@power■-■)) + #pixel
  
bailout:
  |z - zold| > @bailout
  
default:
  title = "DoubleNova (Mandelbrot)"
  helpfile = "dmj-pub\dmj-pub-uf-dn.htm"
  maxiter = ■■■■
  periodicity = ■
  center = (-■.■,■)
  magn = ■.■
  
  param start
    caption = "Start Value"
    default = (■,■)
    hint = "Starting value for each point.  You can use this to \
            'perturb' the fractal."
  endparam
  param power■
    caption = "Primary Exponent"
    default = (■,■)
    hint = "Defines the primary exponent for the equation."
  endparam
  param power■
    caption = "Secondary Exponent"
    default = (■,■)
    hint = "Defines the secondary exponent for the equation."
  endparam
  param coeff■
    caption = "Primary Scale"
    default = (■,■)
    hint = "Defines the coefficient (multiplier) for the \
            primary exponent term."
  endparam
  param coeff■
    caption = "Secondary Scale"
    default = (-■,■)
    hint = "Defines the coefficient (multiplier) for the \
            secondary exponent term."
  endparam
  param bailout
    caption = "Bailout"
    default = ■.■■■■■
    hint = "Bailout value; smaller values will cause more \
            iterations to be done for each point."
  endparam
  param usecritical
    caption = "Use Critical Point"
    default = false
    hint = "If set, a critical point for the function will \
            be used in place of the Start Value."
  endparam
  param relax
    caption = "Relaxation"
    default = (■,■)
    hint = "This can be used to slow down the convergence of \
            the formula."
  endparam

switch:
  type = "dmj-DNovaJulia"
  seed = #pixel
  power■ = @power■
  power■ = @power■
  coeff■ = @coeff■
  coeff■ = @coeff■
  bailout = @bailout
  relax = @relax
}
not generated by AI logo