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KarlKnechtel

 

Eggs In ABasket Problem
   

KarlKnechtel offers a simple puzzle. Maybe the answer is known, part of theoretical knowledge, and the problem won't be so interesting. But it should be fun for beginners to work out on their own.

[Diagram]
Diag.: How many lines go in this space?

How long a line of stones (the "eggs") can be trapped successfully with a geta move (the "basket", along with the other stones in contact with the "eggs"), in the sort of configuration illustrated? For my purposes, white is deemed to succeed in trapping the eggs if black cannot escape to (play on and connect to) the circled lines without being immediately captured or trapped in a ladder.


[Diagram]
Diag.: Black to move; white has just played the marked stone as a geta.

unkx80: Question: Are the stones in these two diagrams meant to be at the edge of the board?

Answer: No. At least, I don't think any such thing is necessary. The lack of a border at the bottom of the first and top of the second diagram, at least, is quite intentional. (I moved the question under the second diagram, to keep them from separating. The title of the first diagram is being used as a "broken line" across what is meant to be interpreted as a single diagram - a tesuji for extending SL's functionality ;) )

unkx80: Oh I get it now! Kind of like the "..." in "1 + 2 + 3 + ... + n". =)


BTW, here's proof (I think) that a 2x2 square cannot be trapped in the geta:

[Diagram]
Diag.: 2x2 eggs hatch

Black is apparently in a ladder, but has an extra liberty at the squared point, so the ladder doesn't work. The eggs hatch - into snakes, apparently. :)

EggsInABasketSolution?



lavalyn asks, are you sure?

[Diagram]
Diag.: 2x2 eggs hatch

[Diagram]
Diag.: 2x2 eggs hatch

[Diagram]
Diag.: 2x2 eggs hatch

unkx80: Black 1 does not offer the strongest resistance. Black 1 can atari at 7, followed by 2.

But I think I have a simpler diagram below.


[Diagram]
Diag.: 2x2 eggs hatch


[Diagram]
Diag.: 2x1 eggs hatch

jesusin: 2x1 hatch works. For example:


[Diagram]
Diag.: 2x1 eggs hatch

jesusin: 3x1 hatch fails. For example:



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