vertical ladders
Posted: Sun Jun 13, 2010 9:00 am
Disclaimer: I am not sure this subject hasn't been touched before and I'm not even sure it isn't nonsense.
In real life ladders prefer a vertical position. Not so in go where they tend to have a diagonal direction.
In go we know the ladder as a sequence of moves in which alternating an attacker threatens to capture and a defender threatens to escape. Typically this repeats in a fixed pattern until an edge is reached or a so called ladderbreaker. This is the global aspect of ladders. Its success might be decided far, far away. If possible a local solution is preferable.
Usually we only consider diagonal ladders; they resemble a staircase. The ladder than develops parallel to a diagonal of the board.
I propose also to consider vertical ladders of which the next diagram is the simplest ( boring ) example.
first edit: please skip the hidden part it is rightly dismantled by Li Kao.
To kill B has to climb the ladder, chasing W up until W breaks his neck against the ceiling.
Like the diagonal ladder also the vertical ladder has more exiting variants.
Here an example resulting from a trick play in the tsuke-hiki joseki after a tenuki.
after 4 B fears both the ( diagonal ) ladder at b and the capture at c ( miai ) so he tries the trickplay 5 at a.
7 defeats the diagonal ladder; 8 defeats the trickplay by a vertical ladder as shown in the next diagrams.
The ladder gets its base.
Question1: Is this last vertical ladder the only way to kill B's top or is there a local solution?
Question2: Anyone another type of a vertical ladder other than the two types shown here?
first edit: hidden the example critized in the next post by Li Kao ( thx )
In real life ladders prefer a vertical position. Not so in go where they tend to have a diagonal direction.
In go we know the ladder as a sequence of moves in which alternating an attacker threatens to capture and a defender threatens to escape. Typically this repeats in a fixed pattern until an edge is reached or a so called ladderbreaker. This is the global aspect of ladders. Its success might be decided far, far away. If possible a local solution is preferable.
Usually we only consider diagonal ladders; they resemble a staircase. The ladder than develops parallel to a diagonal of the board.
I propose also to consider vertical ladders of which the next diagram is the simplest ( boring ) example.
first edit: please skip the hidden part it is rightly dismantled by Li Kao.
To kill B has to climb the ladder, chasing W up until W breaks his neck against the ceiling.
Like the diagonal ladder also the vertical ladder has more exiting variants.
Here an example resulting from a trick play in the tsuke-hiki joseki after a tenuki.
after 4 B fears both the ( diagonal ) ladder at b and the capture at c ( miai ) so he tries the trickplay 5 at a.
7 defeats the diagonal ladder; 8 defeats the trickplay by a vertical ladder as shown in the next diagrams.
The ladder gets its base.
Question1: Is this last vertical ladder the only way to kill B's top or is there a local solution?
Question2: Anyone another type of a vertical ladder other than the two types shown here?
first edit: hidden the example critized in the next post by Li Kao ( thx )
. I'll repair this example ( shouldn't be too difficult ). What about my other example. Isn't it cute?