Difference between revisions of "User:Wurfmaul"
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reply by [[User:Demer|Demer]]: | reply by [[User:Demer|Demer]]: | ||
| − | That does not need the top red stone. | + | That does not need the top red stone. Also, it still works with a line of 3 red stones instead of the edge. See [[Peep#Automatic_peep|automatic peep]]. |
Revision as of 01:03, 21 February 2023
Contents
A lemma (as seen on discord!)
A: B:From blue's perspective, A is at least as good as B.
Proof
When red plays first
The best red can do in A is to play at x, capturing the two cells below. When red plays at the empty cell in B, it kills the blue cell to the left of it, so the result is equivalent to the result in A.
When blue plays first
When blue plays at y in A, the result is at least as good for blue as when blue plays at the empty cell in B. To see this, note that if blue plays at x next, it kills z, and this implies that locally, red's only sensible move is at x, making the position identical to B.
reply by Demer:
That does not need the top red stone. Also, it still works with a line of 3 red stones instead of the edge. See automatic peep.
