![]() StartingPoints Referenced by
|
Linear boards
Keywords: Question
Even a linear or one-dimensional 1xN board permits playing Go, unfortunately with only limited strategical variations. The most obvous change from a regular 2-dimensional board is that the number of liberties that a stone may posess is one at the end of the line, and two anywhere else. (Alternatively, one may introduce a circular board, where all stones have two liberties.)
One can define a 'living group' as in the diagram. Black has two points,
and any attack by white ...
will result in an expansion of blacks territory. Now, my quesiton is: Has this type of board been analyzed?
I assume it should be possible to completely solve this type of board, maybe along the lines of Nim??
For example, the 1x3 game is finished when black places the stone in the center.
On the 1x4 board, after black plays, there is no place for white.
Similarly on the 1x5 board.
On the 1x6 board, white can make one move, reducing blacks points to 1. GoranSiska Although I find this silly I have to disagree with your analysis.
White may play here. If black takes.
Now black stone in the corner has only 1 liberty left so it's a ko. The continuation again depends on the rule sistem :). So I guess Go is still hard - even on linear boards. macho I don't find this silly, and I have to disagree with both your analyses. On the previous 1x4 board Black still wins, assuming you're using the standard superko rule. However, on the 1x5 board, an opening play at tengen actually loses for Black. GoranSiska I still find it silly. Which part of my analysis are you disagreeing with? That the position turns into a ko or that the continuation depends on the rule sistem? And what makes you think the superko rule is standard?
White wins by four points here, almost as many points as there are spaces on the board. Imagine winning a 19x19 game by 360 points!
unkx80: Black plays This is a copy of the living page "Linear boards" at Sensei's Library. ![]() |