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, 4k preferred for print of calender if you win)
   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)
   Please give it a good name, and add interesting info like software/formula used, parameter sharing is very welcome!

- 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)
  This voting period is from the beginning of the contest, until the end of the 28th of the month. 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 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 revive the printed fractal calendar idea. So any submitter automatically accepts that his image will be used in the
  calender 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 new 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 off all.... have Fun!   
Fractal Forum team.

Linkback: https://fractalforums.org/fractal-image-of-the-month/70/fractal-image-of-the-month-november-2018-and-the-winners-are/2080/

Crux to Tip

Bifurcation diagram (aka orbit diagram) for z := z^2 + c.  Horizontal axis is c, vertical axis is z stretched vertically from the area between the Q-curves z = c and z = c^2 + c.
Left edge is at c = -1.543689... (the real root of the cubic factor of (((c^2+c)^2+c)^2+c)-((c^2+c)^2+c) https://www.wolframalpha.com/input/?i=solve+c%5E3+%2B+2+c%5E2+%2B+2+c+%2B+2+%3D+0
Right edge is at c = -2

Inspired by http://kerrymitchellart.com/gallery24/bifurcation.html

Solar Storms

Spacefilling Julia fractal.

Tears of Infinity

sorry that name   

just something from when i was tinkering with random formulas for the hell of it.  in the middle of rewriting my program so i wont bother doing new images until i get things up and running again.

Tapestry.  4th power Mandelbrot rendered by KF.

Title: Magma Insect.
Made with the program Explorador FF.
Info:
Burning Ship Inverse.
Initial Z 0,0i; Exponent 2; Bailout 2; Iterations 256.
Colouring: Distance (not centered).
Orbit trap: Yes, multiple (1 trap).
Post-processing: None.

چیزی
\( z \leftarrow z^2 +i Im(z^2) + c \)

Title: Mandibula
Type: Lyapunov diagram (according to Mario Markus' algorithm back in the 90s).
Parameter: f(x)=2.84*sin²(x+r), sequence AAAAAABBBBBB. A zoom in the upper right quadrant of length 4.
Program: self-coded C++-program
Coloring: Exponents between -1.85 and 0.8 are colored in 4 adjacent intervals with different RGB limit values and linear interpolation.

No post-processing.

Jolly blue spiral.
Made with Jux software.

Testing an Alex's formula from Reply #6 - Zn+1=(1+Zn^2)/(1−Zn^2)+C
https://fractalforums.org/fractal-mathematics-and-new-theories/28/what-is-this-phenomenon-called/2039/msg10197#msg10197
Fractal Zoomer used.

Lyapunov Mycelium in Space

Sequence: baaaabbbbab, x in [3.69, 3.86], y in [3.2, 3.55] (rounded)

The Ruins on Arcturus IV

Created in Ultra Fractal

Waterskies


Fragmentarium
Knighty's version of Theli-at's PseudoKleinian

PS: (Dutch) Geen waterskies

And the winners of the 'Image of the month contest'  October 2018  are...?

Gold, first pace :
Pauldelbrot with  "Solar Storm"    with  23 points

Silver,  second place:
Claude  with "Crux to Tips"   with  16 points

Bronze, third place: 
Gerrit  with   "چیزی  z←z2+iIm(z2)+c"     with 14 points
marcm200   with   "Mandibula"            with 14 points

Congratulations to you all!   

Thanks!