Talk:Sprouts (game)
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[edit] Brussels sprouts
- Therefore you can think of Brussel Sprouts as the same game as Sprouts but with points "dead" after there are 4 lines on them.
I removed this because Sprouts-with-valency-4 is plainly not equivalent. Brussels Sprouts enforces which component of the playing surface (i.e. which side of the existing lines) each free end is in, and this appears to be crucial in the proof that the game is trivial (and quite possibly in the proof that the game ends after finitely many moves). —Blotwell 20:53, 2 June 2006 (UTC)
- Absolutely correct. Sprouts-with-valency-4 is clearly infinite, since after any move there is at least one more: loop from the new point to itself. --Henrygb 23:40, 2 June 2006 (UTC)
