walleye wrote:
Take a look at this elementary problem. How quickly can you decide which place is bigger, top or bottom?
- Click Here To Show Diagram Code
[go]$$c Black to play
$$ --------------
$$ | . . . . . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . . O . |
$$ --------------[/go]
I don't really want to compute the size of plays there. What I want is something like an intuitive feel for the relative size of the two places. And a good way to develop this skill is to solve hundreds or even thousands of simple yose problems where there are only two or three unsettled boundaries left and you just have to pick the largest place.
You can also calculate the sizes of hundreds of plays.

As for this example, my first impression is that these plays are not independent. My second is that a play here gains about 1 point. My third is that the top is surely Black's best spot, but White may have a play in the bottom.
Closer inspection reveals that a play at the top gains 1.125 points for either player.
- Click Here To Show Diagram Code
[go]$$Wc Losing sente
$$ --------------
$$ | . 2 . . . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . 1 O . |
$$ --------------[/go]

actually gains 1.125 points, too.

However, it is a losing sente, as

gains 1.5 points in reply, for a loss to White of 0.375 points.
Also, consider this variation at area scoring:
- Click Here To Show Diagram Code
[go]$$c Area scoring
$$ --------------
$$ | 3 2 1 4 . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . . O . |
$$ --------------[/go]
After

,

sacrifices a stone to take away the eye and set up the ko, leaving this position.
- Click Here To Show Diagram Code
[go]$$c Black to play
$$ --------------
$$ | X . X O . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . . O . |
$$ --------------[/go]
Can you tell at a glance where Black should play?
The bottom is a 1 point sente for White (2 points by area scoring), while the top is a 1/3 point ko (1 1/3 points by area scoring).
- Click Here To Show Diagram Code
[go]$$Bc Largest play first
$$ --------------
$$ | X 6 X O . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . 5 O . |
$$ --------------[/go]
Black plays the reverse sente and White takes the ko. Black has no ko threat, so the end result is this.
- Click Here To Show Diagram Code
[go]$$c Black to play
$$ --------------
$$ | X O O O . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . X O . |
$$ --------------[/go]
White wins by 1 point.

Black should fill the ko.
- Click Here To Show Diagram Code
[go]$$Bc Black wins
$$ --------------
$$ | X 5 X O . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . 7 6 O . |
$$ --------------[/go]
Black gets the last play to win the game.

Now, isn't that more fun than just saying, the top looks bigger to me?
