Nine Dots Puzzle, Final Solution and General Proof (Solving the nxn Dots Problem INSIDE THE BOX)

Is it possible to solve the 9 dots puzzle (http://en.wikipedia.org/wiki/Thinking_outside_the_box) inside the box?
Ok, ok... we can't, I know.

But... is it possible to solve the same problem considering a 5x5 dots problem? And if there is a 6x6 dots grid?

In this case the answer is: "Yes, we can" :D

The solution pattern is very simple... the easiest pattern is the "square spiral" one:

http://www.scribd.com/doc/137604469/Extended-9-Dots-Puzzle-final-proof-general-solving-method

Explanatory videos by me (I am sorry for my English... I hope that the solution is clear enough):

http://www.youtube.com/watch?v=--rMA2jHkBU (Part 1)
http://www.youtube.com/watch?v=GlEf5AZvNAM (Part 2)




Conclusion:
If your paper has the same area of the nxn dots grid AND if n>4, you can solve the problem "thinking inside the box". Otherwise (n=3 or n=4) you can't.

MR