Logo by Fiery - Contribute your own Logo!


it was a great time but no longer maintainable by c.Kleinhuis contact him for any data retrieval,
thanks and see you perhaps in 10 years again

this forum will stay online for reference
News: Visit us on facebook
Welcome, Guest. Please login or register. September 29, 2023, 04:14:45 PM

Login with username, password and session length

The All New FractalForums is now in Public Beta Testing! Visit FractalForums.org and check it out!


News from the MandelboxMandelbox Julia with SpiralsThe Pocket Watch of my Grandpa
Mandelbox Julia with Spirals
Previous Image | Next Image
Description:  // Mandelbox Julia with fold at 0.5, scale = 1 and without y transformation.
// CenterX=5.50297045220822 CenterY=0.583399182382745
// CenterZ=2.10738023707053 Radius=0.214958267491292
public override bool GetBool(double x, double y, double z)
  for (int i = 0;i < 77;  i++)
        while(x>0.5)  x =  1-x;
        while(x<-0.5) x = -1-x;
        while(z>0.5)  z =  1-z;
        while(z<-0.5) z = -1-z;
    double r=x*x+y*y+z*z;
      x /= r;
      y /= r;
      z /= r;
      if(r<0.3) return false;
    x+= 0.02;
    y+= 1.9;
    z+= 0.5;
  return true;

Total Favorities: 0 View Who Favorited
Filesize: 248.26kB
Height: 1159 Width: 1200
Discussion Topic: View Topic
Keywords: Mandelbox Spiral Gestaltlupe 
Posted by: trafassel January 09, 2017, 01:12:17 AM

Rating: ***** by 2 members.

Image Linking Codes
BB Code
Direct Link
Html Link
0 Members and 1 Guest are viewing this picture.
Related Images
Dueling Spirals

Rating: ***
Filesize: 968.36kB
Date: October 09, 2008, 08:37:02 PM
Comments (0)
By: wolfepaw
Mandelbulb spirals

Rating: *****
Filesize: 396.13kB
Date: December 01, 2009, 10:02:35 PM
Comments (2)
By: Buddhi
Spiraling spirals

Rating: *****
Filesize: 258.98kB
Date: December 04, 2009, 02:20:56 AM
Comments (0)
By: Guest
3 spirals ?

Rating: (None)
Filesize: 688.42kB
Date: January 21, 2010, 02:24:51 PM
Comments (0)
By: bib

Rating: ****
Filesize: 3.16MB
Date: March 12, 2016, 09:34:04 PM
Comments (0)
By: JFP053

Comments (4) rss
Fractal Bachius
Posts: 531

View Profile
January 09, 2017, 11:35:29 PM
Thanx pupukuusikko.

I did not test other scales than 1.

The idea of using box size of 0.5 to reach nice results for scaling 1 comes from msltoe (see: http://www.fractalforums.com/index.php?action=gallery;sa=view;id=7604).

Set x=-x in each iteration is inspired from the escape time algorithm for Kleinian group limit sets fragment code at http://www.fractalforums.com/3d-fractal-generation/an-escape-tim-algorithm-for-kleinian-group-limit-sets/msg98248/#msg98248 .

Using unlimited folding as demostrated here and remove y folding makes the spirals more regular. This ideas was also inspired from the Kleinian Group formula by trying to remove the cuts, caused by the line of separation.

I.e. the unlimited folding is of course much faster, if you use:

        if(x>0.5)  x =  1-x;
        if(x<-0.5) x = -1-x;
        if(z>0.5)  z =  1-z;
        if(z<-0.5) z = -1-z;

This is not the same as:

      x = x-Math.Floor(x+0.5);
      z = z-Math.Floor(z+0.5);

which is used in the escape time algorithm for Kleinian Group.

Although there is no y folding the fractal is not flat as expected and the spirals occour in all 3D directions.

Posts: 35

View Profile WWW
January 09, 2017, 07:40:55 PM
Excellent spirals. A Beer Cup How does the brot look without folding on y axis?
Do you see spirals on more reasonable scales? As you know, with DE methods
approaching scale=1.0 is difficult.
Fractal Bachius
Posts: 531

View Profile
January 09, 2017, 10:52:23 AM
Thank you. I newer know, that generating spirals in the Mandelbox was so simple.
Fractal Senior
Posts: 1739

View Profile
January 09, 2017, 03:47:31 AM
Nice one afro afro afro

Return to Gallery

Powered by SMF Gallery Pro

Powered by MySQL Powered by PHP Powered by SMF 1.1.21 | SMF © 2015, Simple Machines

Valid XHTML 1.0! Valid CSS! Dilber MC Theme by HarzeM
Page created in 0.229 seconds with 38 queries. (Pretty URLs adds 0.005s, 1q)