Fractalforums

The rules are as follows:

- Every user can submit ONE cool picture to become our fractal image of the month.
  Images must be your own creation! Production date is unimportant.

- Good resolution (HD mandatory) Please give it a good name, and add interesting info like software/formula used, parameter sharing is very welcome! 
   Images must be fractals, created with fractal software, postproduction is allowed.

- To participate, just post in this thread and attach the image to your post. (don't use the gallery)   

- The first two weeks of the month are for suggestion, until the end of  the 14th of the month,   00.00 hr. midnight  (A'dam time) 
   Check your local time here:
   https://www.timeanddate.com/worldclock/netherlands/amsterdam

- You can vote for each entry once (using our voting system bronze, silver and gold -  1, 2 and 3 points) Thumbs are nice, but don't count.
  This voting period is from the beginning of the contest, until the end of the 27th of the month. The winners will be announced the next day, at the 28th. You can change your vote during the entire period. Voting will be stopped at 00.00 hr.  midnight  A'dam time.  Check your local time here:   https://www.timeanddate.com/worldclock/netherlands/amsterdam

- Top3  will be displayed in the Winners gallery when voting is closed, and at the end of the year in a best of the year
  thread/galleryslideshow.
  https://fractalforums.org/index.php?action=gallery;cat=25
 
- We want to try to revive the printed fractal calendar idea. So any submitter automatically accepts that his image can be used in the
  calendar if it wins.    (all money from the calendar goes into the further development of fractalforums.)

- After the winners are announced, the winning images will be presented in the 'gallery of fame' to honor the winners and their Art.
  The winning images are presented in this gallery, which will grow to become a "best of" gallery:
https://fractalforums.org/index.php?action=gallery;cat=25

- Post any questions, or suggestions you have here: https://fractalforums.org/fractal-image-of-the-month/70/fractal-image-of-the-month-discussion-thread/150

Please start admitting your best work now and most of all.... have Fun!   
Fractal Forum team.

Linkback: https://fractalforums.org/fractal-image-of-the-month/70/-fractal-image-of-the-month-contest-september-2019-the-winners-are/3034/

Moss and Lichen

"Welease Da Quacken!!!" (see Holomorph.frag code for details)
#include "MathUtils.frag"
#include "Complex.frag"
#include "Progressive2D.frag"
#info Holomorphic Mandelbrot extensions
#info https://fractalforums.org/fractal-mathematics-and-new-theories/28/holomorphic-mandelbrot-extensions/1475
#info Mandelbrot foam math
#info https://fractalforums.org/fractal-mathematics-and-new-theories/28/mandelbrot-foam-math/1665

#group Holomorph

// Number of iterations
uniform int  Iterations; slider[10,200,10000]

uniform vec3 RGB; color[0.0,0.4,0.7]
uniform float Escape; slider[0,6,16384]
uniform float ColDiv; slider[1,256,384]

uniform vec2 P; slider[(-2,-2),(1,0),(2,2)]
uniform vec2 Q; slider[(-2,-2),(-1,0),(2,2)]

uniform bool Foam; checkbox[false]

uniform bool absX; checkbox[false]
uniform bool absY; checkbox[false]
// applies ABS(X|Y) to Z
uniform bool toZ; checkbox[false]
// applies ABS(X|Y) to W
uniform bool toW; checkbox[false]

vec3 color(vec2 c) {

float dist = 0.;

float Escape2 = Escape * Escape;

vec2 z = sqrt( cMul(-P,Q) * 0.25);
vec2 w = -z;

int i = 0;
for (i = 0; i < Iterations; i++) {

if(toZ){
if(absX) z.x = abs(z.x);
if(absY) z.y = -abs(z.y);
}
if(toW){
if(absX) w.x = abs(w.x);
if(absY) w.y = -abs(w.y);
}

vec2 t = z;
z = cSqr(z) + cMul(P,w) + c;
if(Foam) {
// https://fractalforums.org/fractal-mathematics-and-new-theories/28/mandelbrot-foam-math/1665
w = cDiv(cMul(Q,w),z) + c;
}
else {
// https://fractalforums.org/fractal-mathematics-and-new-theories/28/holomorphic-mandelbrot-extensions/1475
w = cSqr(w) + cMul(Q,t) + c;
}
dist = max(max(dist,dot(z,z)),max(dist,dot(w,w)));

if (dist > Escape2) break;
}

if (i < Iterations) {
// The color scheme here is based on one
// from Inigo Quilez's Shader Toy:
float co =  float(i) + 1. - log(.5*log(dist))*1.45;
co = 6.2831*sqrt(co/ColDiv);
return 1.-(.5+.5*cos(co+RGB) );
}  else {
return vec3(0.0);
}
}

#preset Default
Gamma = 2.08335
Brightness = 1
Contrast = 1
Saturation = 1
TrigIter = 5
TrigLimit = 1.10000000000000009
Center = -0.424886316,0.018265996
Zoom = 0.488571157
ToneMapping = 3
Exposure = 0.6522
AARange = 2
AAExp = 1
GaussianAA = true
Iterations = 200
RGB = 0,0.400000006,0.699999988
Escape = 16384
ColDiv = 48
P = 0.005194806,4e-9
Q = -0.534550194,-0.002607562
Foam = true
absX = false
absY = true
toZ = true
toW = false
#endpreset


Mandelbrot dendrite with stacked shapes.

Cubic Mandelbrot brodery

Made with Jux software:
"Chinese Dragon gate"

2D = 3D (Titanium Metal Crystals)

This is an 2D Fractal. It consists of only sphecical (circular) transformations. It has been made with fractron9000, which is not be able to make 3D fractals or 3D effects. But still this one looks quite realistic. Even the focus effect, lighting and chromatic abberations are quite convincing. It looks like a microscope photo of coloful anodized metal. But its still a 2D fractal.

This is the improved version of one of my first good holographic fractals. I added 8 additional identical transformations on the outer areas close to each other. The correct positioning increased sharpness and size of realistic area drastically!!! Now even high zoom at the center shows realistic 3D effects!

This is the flame code. It has just been rotated by 90 degrees afterwards to get the monitors filled with more fractal and less of black background.

  <flame name="holographicx32improvView2" version="Fractron9000 0.4" size="800 600" center="0 0" scale="22,2976" zoom="0" rotate="0" background="0 0 0" brightness="1,996" gamma="3,4" vibrancy="1">
    <xform weight="1" color="1" f9k_color2="0,5" spherical="1" coefs="0,125 0 0 0,125 0,002 0" />
    <xform weight="1" color="0,25" f9k_color2="1" spherical="1" coefs="0,125 0 0 0,125 -0,002 0" />
    <xform weight="1" color="1" f9k_color2="0" spherical="1" coefs="0,125 0 0 0,125 0,0005 0" />
    <xform weight="1" color="0" f9k_color2="0,5" spherical="1" coefs="0,125 0 0 0,125 -0,0005 0" />
    <xform weight="1" color="1" f9k_color2="0,1732284" spherical="1" coefs="0,125 0 0 0,125 0,125 -0,641" />
    <xform weight="1" color="0" f9k_color2="0,1889764" spherical="1" coefs="0,125 0 0 0,125 -0,125 -0,641" />
    <xform weight="1" color="0,1338583" f9k_color2="0,7874016" spherical="1" coefs="0,125 0 0 0,125 -0,125 0,641" />
    <xform weight="1" color="0,6692913" f9k_color2="0,8503937" spherical="1" coefs="0,125 0 0 0,125 0,125 0,641" />
    <xform weight="1" color="1" f9k_color2="0" spherical="1" coefs="0,125 0 0 0,125 0,123 -0,64" />
    <xform weight="1" color="0" f9k_color2="0" spherical="1" coefs="0,125 0 0 0,125 -0,123 -0,64" />
    <xform weight="1" color="0" f9k_color2="0,5669292" spherical="1" coefs="0,125 0 0 0,125 -0,123 0,64" />
    <xform weight="1" color="0,75" f9k_color2="0,7" spherical="1" coefs="0,125 0 0 0,125 0,123 0,64" />
    <xform weight="1" color="1" f9k_color2="0,472441" spherical="1" coefs="0,125 0 0 0,125 0,127 -0,642" />
    <xform weight="1" color="0" f9k_color2="0,496063" spherical="1" coefs="0,125 0 0 0,125 -0,127 -0,642" />
    <xform weight="1" color="0,2440945" f9k_color2="1" spherical="1" coefs="0,125 0 0 0,125 -0,127 0,642" />
    <xform weight="1" color="0,511811" f9k_color2="1" spherical="1" coefs="0,125 0 0 0,125 0,127 0,642" />
  </flame>

This month is a Explore Fractals Inflection Tool one.
Thanks Dinkydau for releasing and improving.
fractalforums.org/other/55/explore-fractals-inflection-tool/777

Man in Boat

Ultra Fractal

Parameters available here https://sta.sh/01t7ayw2v3nk

hypercomplex

Scarecrow

Made with Lyapunov Pagoda, see zip file.

Thank you all for participating and voting in this monthly contest! 


And the winners of the 'Image of the month contest'  September - 2019  are...?

Gold, first place, 3DickUlus with:   "Welease Da Quacken"  with 24 points.  Shared with:
Gold, first place, Gerrit       with:   "Mandlebrot dendrite"   with 24 points.
 
Silver,  second place, Caleidoscope,  with: 'Chines Dragon Gate ' with 19 points

Bronze,  third place, McLarekin, with:  ''Hypercomplex"  with 17 points.


Congratulations to you all!   

Thanks to all!
Especially the math brains who come up with these bits of fun 
, the artists
, the participants
, the voters
, Caleidoscope
, and FractalForums.org

 

Thanks to all!
Especially the math brains who come up with these bits of fun 
, the artists
, the participants
, the voters
, Caleidoscope
, and FractalForums.org

 

Thank you for your kind words 3Dickulus, and I'm glad I'm part of the fractal flow.  

Well done all, congratulations winners!