






Welcome to Passwall! For the curious, or those unable to find a solution to the puzzle on the main page, we have included some of the solutions that seem to work. 



Restating the problem: this is a classic example given to people to demonstrate thinking "outside the box." The question for this puzzle was asked of me like this when I was about half way through elementary school:

3x3

3x3
O O O O O O O O O 


The expected example from our visitor is included here. If we assume a naming scheme for the point where columns are labeled from left to right as A, B, and C while rows are labeled top to bottom as 1, 2, and 3, we can reference any dot with a coordinate pair. In this way, the top left dot would be .A1, the middle dot would be .B2 and the bottom right dot would be .C3. With the above assumption use just to reference the dots, the desired solution from our visitor would be found by following this procedure: 
3x3

3x3
OOO O O O O O O 
I accept this is a solution to this question, but it is not the only solution. Our visitor came to show us how to think "outside of the box" but created a new box to contain our minds and yet again, limit us. (A box within a box!) 



Nobody likes being told their answer is wrong, especially when their answer fits the rules and is technicaly correct. Here are some things to think about:
There are other possible ways to reexamine the rule to find other ways to exploit unstated or assumed rules in this problem. Some of these may not even be "valid" if you alter you definitions of some key words in the rules. (Many arguements come down to disagreements of definitions.) 



This solution requires a bit of thought. Imagine a sheet of paper laying flat in 'portrait' fashion. Roll the paper in such a way so as to have the long edges meet precisely along the length of the longest edges of the paper. You will then create a hollow cyllender. Drawing 3 lines along the flattened piece of paper as shown, would form a 3d spiral shape when the paper was joined to form the cyllender. You may choose to imagine the paper as being continuous. If you do, then you may see the joined 3 lines as one continuous line, or as three separate lines. (By the way, the end of the first line is exactly the same point of the beginning of the second line and the end of the second line becomes the start of the thrid line when the flat paper is joined to make the cyllender.) After all three lines are drawn (or one continuous line if you prefer) then you may super impose the 3 by 3 matrix of points in such a way as to have all points crossed as depicted here in ASCIArt and an animated image. 
Image:


ASCII                           
ASCII =*X*=              ___ 
ASCII =*X*=     o   o o   o o o   o o   o       ___ 


There are other thoughts on this problem. These should not need visual aids to assist their conveyance.







