$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . . . X . |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . . . X . |
$$ ------------[/go]
Enjoy! and please hide your solutions.
[edit] Japanese rules, no komi, no prisoners [/edit]
$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O 3 |
$$ | . 1 2 X . |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O 3 |
$$ | . 1 2 X . |
$$ ------------[/go]
$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O b |
$$ | . 1 3 X a |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O b |
$$ | . 1 3 X a |
$$ ------------[/go]
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 1 . X . |
$$ ------------[/go]
prevents a second eye.
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 1 2 X . |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 1 2 X . |
$$ ------------[/go]
prevents seki.
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 5 |
$$ | O O O O 3 |
$$ | . 1 2 X 4 |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 5 |
$$ | O O O O 3 |
$$ | . 1 2 X 4 |
$$ ------------[/go]
cannot be at 5 because of damezumari.
Variations:
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O 5 |
$$ | . 1 3 X 4 |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O 5 |
$$ | . 1 3 X 4 |
$$ ------------[/go]
After takes the ko, White has no threat.
So the bottom will remain seki.
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 5 |
$$ | O O O O 3 |
$$ | . 2 1 X 4 |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 5 |
$$ | O O O O 3 |
$$ | . 2 1 X 4 |
$$ ------------[/go]
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O X |
$$ | O O O O X |
$$ | . O . 6 O |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O X |
$$ | O O O O X |
$$ | . O . 6 O |
$$ ------------[/go]
White wins by 1 pt.
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O 3 |
$$ | . 2 1 X 4 |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O 3 |
$$ | . 2 1 X 4 |
$$ ------------[/go]
$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 6 |
$$ | O O O O X |
$$ | . O . 5 O |
$$ ------------
[go]$$c Black to play and win
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 6 |
$$ | O O O O X |
$$ | . O . 5 O |
$$ ------------[/go]
White wins.
The Adkins Principle: At some point, doesn't thinking have to go on?
— Winona Adkins
$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . . 1 X . |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . . 1 X . |
$$ ------------[/go]
$$c Seki or a ko White can't win:
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O . |
$$ | . 3 1 X . |
$$ ------------
[go]$$c Seki or a ko White can't win:
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O . |
$$ | . 3 1 X . |
$$ ------------[/go]
$$c Left with a dead three space eyespace
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 3 1 X 2 |
$$ ------------
[go]$$c Left with a dead three space eyespace
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 3 1 X 2 |
$$ ------------[/go]
$$c However
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O 3 |
$$ | . 2 1 X 4 |
$$ ------------
[go]$$c However
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O 3 |
$$ | . 2 1 X 4 |
$$ ------------[/go]
$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O X |
$$ | . O . 1 O |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 2 |
$$ | O O O O X |
$$ | . O . 1 O |
$$ ------------[/go]
So...
$$c This seems to work for all the above yet lack the problem of the last diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 1 . X . |
$$ ------------
[go]$$c This seems to work for all the above yet lack the problem of the last diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O . |
$$ | O O O O . |
$$ | . 1 . X . |
$$ ------------[/go]
$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 3 |
$$ | O O O O . |
$$ | . 1 . X 2 |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 3 |
$$ | O O O O . |
$$ | . 1 . X 2 |
$$ ------------[/go]
Etc. It seems to come down to a miai between a dead eye shape for white or a false eye on the right. White doesn't seem to be able to avoid both without accepting a seki.
$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 5 |
$$ | O O O O 3 |
$$ | . 1 2 C 4 |
$$ ------------
[go]$$c This is a label for the diagram.
$$ ------------
$$ | O X . X . |
$$ | O X X X X |
$$ | O X O O 5 |
$$ | O O O O 3 |
$$ | . 1 2 C 4 |
$$ ------------[/go]