ArtRage 5 Product PageArtRage Lite Product PageArtRage for iPad Product PageArtRage for Android Product PageArtRage  Android Oil Painter Free Product PageArtRage  Free Demos Page

Results 1 to 9 of 9

Thread: Unresolvedness

  1. #1
    Join Date
    Mar 2009
    Location
    Rio de Janeiro
    Posts
    5,897

    Unresolvedness

    A continuous failure. It's just a puzzle. You must pass on all lines, without passing twice on the same line (or side), there are 12 lines (sides) to a single stroke see small figure.
    Attached Thumbnails Attached Thumbnails Click image for larger version. 

Name:	unresolved.jpg 
Views:	53 
Size:	137.8 KB 
ID:	55137  
    Attached Images Attached Images  
    Last edited by Lima; 04-26-2011 at 07:20 AM.

  2. #2
    Join Date
    Oct 2008
    Location
    India
    Posts
    1,560
    My recent post may give you fresh direction to solve them! Good Luck!
    The artist is the lover of Nature, therefore he is her slave and her master. - Rabindranth Tagore

  3. #3
    Join Date
    Mar 2009
    Location
    Rio de Janeiro
    Posts
    5,897
    Wenkat, dear friend thanks. This is not a personal problem. It's just a puzzle. You must pass on all lines, without passing twice on the same line, there are 12 lines to a single stroke.

  4. #4
    Join Date
    Oct 2008
    Location
    India
    Posts
    1,560
    I know, but wonder whether it could be solved if it's to be in 3-D!

    Somewhat similar to another problem of connecting with Water, Gas and Electricity lines to three houses independently but without any crossover. A mathematics (doctorate) person told me there are some simple problems but have no conclusive answers!
    Last edited by wenkat; 04-26-2011 at 07:18 AM.
    The artist is the lover of Nature, therefore he is her slave and her master. - Rabindranth Tagore

  5. #5
    Join Date
    Mar 2009
    Location
    Rio de Janeiro
    Posts
    5,897
    Ahh! I couldn't solve it

  6. #6
    Join Date
    Jan 2009
    Location
    Australia QLD
    Posts
    435
    A good one

  7. #7
    Join Date
    Feb 2009
    Location
    Concord, California
    Posts
    6,836
    Hi Lima.
    I question if this is possible. Below is the puzzle with all lines crossed as a first step in setting up the required condition. It appears that any configuration of connecting the lines will always leave at least one side uncrossed. If there is a solution it sure escapes me. If there is not a solution the puzzle is a false teaser. But it there is a solution, it's pretty brilliant. Do you know????
    Attached Thumbnails Attached Thumbnails Click image for larger version. 

Name:	puzzell.JPG 
Views:	61 
Size:	65.7 KB 
ID:	55149  
    // "Appreciation fosters well-being. Be well." - Byron
    //
    My ArtRage Paintings Here
    // My Comprehensive AR4 & 3 Thread Here
    64 bit Win8Pro, 16GB Ram, Intel i7 Quad Core - 8 threads; Wacom Intuios 4

  8. #8
    Join Date
    Apr 2006
    Posts
    14,335
    It's too early for me dear Oriane. What little brain cells I have left, have just been cooked.

  9. #9
    Join Date
    Mar 2009
    Location
    Rio de Janeiro
    Posts
    5,897
    to all.

    Many years ago (1975) I was on duty and having lunch with a colleague when he proposed me to solve this problem. Of course I failed. Alias, I never solved it. During this entire time, occasionally I find myself drawing those lines. I like the different geometric possibilities that you can get, it is fun to do it.

    Byron I guess you're right, probably it is a simple brain teaser. Your start drawing is the right rational cartesian methodical way of trying to solve it, or fail. I came to a conclusion that I do not know if is correct or not, or maybe I'm just cheating, or maybe it is my one truth about it, or maybe it just confirms my failure to solve it (see the figure).

    That colleague, I never saw him again.
    Attached Thumbnails Attached Thumbnails Click image for larger version. 

Name:	sol.jpg 
Views:	55 
Size:	121.0 KB 
ID:	55184  

Posting Permissions

  • You may not post new threads
  • You may not post replies
  • You may not post attachments
  • You may not edit your posts
  •