![]() StartingPoints Referenced by
|
Other Infinitesimals
Keywords: EndGame
Yet more infinitesimals in chilled go!
This infinitesimal is common. And it is one we already know. Which one is it? If White fills, the result is 0, of course. If Black takes we get this.
And this we know to be * (STAR). So our familiar infinitesimal is { * | 0 } = v (DOWN). Let's check that. Since ^ + v = 0, this position should be miai.
If Black a then White b, and if White b then Black a. Miai it is. Somewhat less common is this position, which is also a familiar infinitesimal in disguise.
While White can play to miny-2.
Well, White 1 reverses to "zero" (ignoring the count, as usual).
It's obvious, but looks can be deceiving. If White 1 really reverses, our friend is { * | 0 } = v. We can check that by adding it to ^.
If Black a, then White b; and if White b, then Black a. If White starts at a,
or if Black 4, then White 1 - Black 2, White 3. So, indeed, our friend is v in disguise.
This monster looks formidable, but it is also a kind of familiar infinitesimal in disguise. :-)
Black 1 moves to a Black sente position, a miny-8.
White 1 reverses to 0.
That reverse for White is not so obvious. Let's check it.
If Black goes first, White 4 gets tedomari.
And if White goes first, Black 4 gets tedomari. So the monster is a 0-miny. That's surprising. It doesn't look at all like this position:
The key is the eventual sente play for Black. Each black play filling one of White's liberties is like a move in the corridor. This kind of position can be very deceptive. That White sente is so tempting. ;-)
How many people would jump at the sente?
White should approach the tiny. Real game example:
This position comes from our Ongoing Game. The large White group has six liberties (a - f). Filling the fifth one is Black's sente, so this infinitesimal is a 0(4)miny. With such a large atomic weight, White should have no trouble getting the tedomari at temperature 1. However, Black got the last one-point move, because White took his sente. Also see More Infinitesimals. This is a copy of the living page "Other Infinitesimals" at Sensei's Library. (C) the Authors, published under the OpenContent License V1.0. |