$$c This is a label for the diagram. $$ ------------ $$ | O X . X . | $$ | 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]