All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Logic
What is the logical criterion ? (Posted on 2005-06-03) Difficulty: 2 of 5
What is the logical criterion used to place the four different symbols that fills the 36 cells of the 6 x 6 grid ?

-------------------------
| O | # | x | @ | # | O |
-------------------------
| @ | O | O | x | x | @ |
-------------------------
| @ | x | O | # | # | @ |
-------------------------
| # | @ | @ | x | O | # |
-------------------------
| # | O | O | x | x | # |
-------------------------
| x | @ | # | O | @ | x |
-------------------------

See The Solution Submitted by pcbouhid    
Rating: 3.8333 (6 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Symmetry Comment 9 of 9 |

I thought about this problem in a different way than the other people who posted comments. What I came up with is perhaps less a criterion for placing the symbols as it is a descriptor of their placement, but I still think it's interesting. Here are my thoughts:

Let x = 0, and
Let @ = #

Then the grid has 180-degree rotational symmetry around the center point.

The problem with this is that, if this were the criterion for placement, then the grid shown would be one of several possible solutions, not the only solution.

Given the actual criterion for symbol placement (see solution), can anyone explain why the rotational symmetry works?

-- Becky
  Posted by Rebecca Jaffe on 2005-08-30 03:06:01
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (8)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information