Reddit reviews The Dots and Boxes Game
We found 6 Reddit comments about The Dots and Boxes Game. Here are the top ones, ranked by their Reddit score.
Used Book in Good Condition
Reddit reviews The Dots and Boxes GameWe found 6 Reddit comments about The Dots and Boxes Game. Here are the top ones, ranked by their Reddit score.
You sound like the kind of person who would enjoy this. This book pretty much melted my brain after chapter 2. Written for game theory enthusiasts.
Linear programming:
Combinatorial optimization:
Game theory:
Combinatorial game theory:
See Dots & Boxes: Sophisticated Child's Play, by E. Berlekamp (a professional mathematician). It is structured like a textbook and will get you up to the current state-of-the-art in Dots & Boxes. It's not very long. Since you already know the first plateau of strategy, you can read the first bit quickly and immediately start learning Chain-Counting.
I find this fact fascinating, by the way.
There is a nice book about it, too. It's short with some exercises as well. Beware of the reviews. One single-star review complains that it's not a smartphone game.
The game is called dots and boxes (http://en.wikipedia.org/wiki/Dots_and_Boxes)
It actually has a reasonably interesting theory behind it.
http://www.amazon.com/Dots-Boxes-Game-Sophisticated-Childs/dp/1568811292
Also more stuff in volume 3 of Winning Ways for your Mathematical Plays in chapter 16.
http://www.amazon.com/Winning-Ways-Your-Mathematical-Plays/dp/1568811438
Well, obviously it's a function of the size of the grid. Dots and boxes on a 2x2 dot grid would be a stupidly trivial game. Here's a paper discussing solving dots and boxes for 4x5, in which they mention that the naive search space of a 4x4 game is is 40!. So it's a game that very quickly leaves the realm of "obvious". If you're interested in the strategy of dots and boxes, this book is supposed to be an good start, though I've not read it. It's also touched upon on in chapter 16 of Winning Ways for your Mathematical Plays.