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Tetris, Minesweeper, and Math

Tetris just happened to come to my mind today. I wonder what Pentis would be like. How large would you need the falling space to be? Would it be too hard? I know it would be more difficult than tetris, but it could be almost impossible. I know Propis (three squares) wouldn't be a puzzle at all. It seems interesting that four squares just happens to be so perfect. Now we have games like Meteos and Lumines that have taken the stand as lead hand-held puzzle games. Could we say that these games needed something like Tetris? I don't know.

Minesweeper is a cool game too. The rules are simple, but the strategy can get complex at times when you have to start saying where the mine couldn't be instead of where it has to be and then determining the next set of mines. I remember seeing 3-D Minesweeper which I thought was a great game since corners always seemed to be the cause of getting "stuck". I'm not sure whether 3-D Minesweeper was harder or not; I never played it enough. I was wondering if a circular minesweeper would be possible. It would get rid of the corners but still remain in its 2-D shape. Just an idea.

I was talking to my math professor and he told me that games can be looked at in a special arithmetic of its own. Sometimes within games, little mini-games form that the player has to pay attention to. This sort of give you the feeling of being a commander in games like chess or anything else that is turn-based. Certain parts of the board can become much more important than others; some parts of the board and its units are worthless (like if a piece can't move or it has no reason to be moved). I think this is just a way to say that strategy is the math of games. You obviously can't win a game unless you come up with some type of strategy. Some games can be mastered so that you can know how to win or draw even before starting the game. It's crazy stuff.