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@John
Here is a CPU version I just googled, with different difficulty levels, it in Java so I don't know how it's done, but it can be done:
http://www.well.com/user/argv/java/dots.html
And here's...

Yup..

I'll second that.

Hhahaha:D just as good as paint huh?

I don't think it's boring since it is a two player game, but it would be nice to have the option to play against a CPU. I assume that...

One more UI suggestion:
I think it would be nice if the lines would have be highlighted when being hovered. After playing for a few minutes, I noticed that when trying to click the lines I would...

Nice! Works great in FF3 and IE7.