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this post was submitted on 01 Apr 2026
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This should allow for an infinite draw, however if we assume our players do manage to fill the bottom row eventually, things change.
The lowest layer will be filled with sections that never have any more than three in a row.
If the board is even-infinite, player 1 will have the better chance at manipulating the upper layer in their favor.
If odd-infinite, then player 2 gets the advantage.
My guess is that the only way to never win is to find a tesselation pattern in which there is an equal number of each stone and no connect fours for anyone even when repeated on either side. The players would have to play that pattern perfectly and Iโm not sure either would be inclined to do so.
you didn't account for the heat death of the universe happening long before the materials needed to produce enough pieces run dry to satisfy rows 1-3.
also since it seems linear, there may be an alternative solution to align the edge of the board with another reality to present artificial borders
The universe can only really encode ~10^80 bits of information so an infinite board already means assuming this game is above the laws of our physical existence.
As for borders, even if there was a first and last column with infinite rows in between, one only has to start in the middle to practically ignore the edges until after filling an infinite amount of the center to the point the edges are now a finite distance away.
Not if you actually need to, you know, connect โ stones. Then the game would end in a draw as soon as every row contained a stone from both parties. ๐
Totally missed that lol I was just thinking about the board size
I was thinking this seems like a math problem. Something like define the chances of one side winning assuming random placement of pieced