Construction Problem 1 / Attempts

[Diagram]

27 Stones


This is my attempt. (All of the stones must be solidly connected, else pieces can be cut off given infinite white moves.) -- Blake

Blake's 27 stones solution does not work: If white gets arbitrarily many free moves, she can form a living group. -- Pyramids

[Diagram]

27 Stones: Counterexample


[Diagram]

29 Stones Solution


This is my best attempt. -- Pyramids



How about something like this:

[Diagram]

43 black stones



A couple freebies, I think:

[Diagram]

45 black stones



45 stones are not bad, but there is still a lot of room for improvement!


[Diagram]

43 stones

LukeNine45: Not an improvement, but it looks nicer! :)

[Diagram]

46 black stones

2 eyes just weren't enough :-) --Bass



[Diagram]

47 black stones

An "obvious" enhancement. --Bass



[Diagram]

50 stones

Shape seems to be the key here.

[Diagram]

52 stones

Small improvement.


[Diagram]

53 stone chandelier

Yes, the shape you used is indeed vastly better. Here's my go at it. --Bass



ferdi: The following try isn't in the running because changing the conditions doesn't count as solution ;-)


If you allow positions where every stone in the group is necessary and the group cannot be reinforced further, but you omit the infinite white moves rule, then seki is possible:

[Diagram]

46 stones in the large black group

(Most 2-group sekis do not fulfill this requirement, because one or more stones could be removed and they would still be seki.)

Eric Boesch?


[Diagram]

I fail to see the necessity of, say, the marked stones. Dieter

[Diagram]

Example

In above diagram marked black stone is taken way. White can now capture some black stones...

Dieter: Yes, very deceptive ...


This is a copy of the living page "Construction Problem 1 / Attempts" at Sensei's Library.
(OC) 2012 the Authors, published under the OpenContent License V1.0.
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