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Incidentally, replacing all 2s with 1s and vice versa, as well as starting with the head, gives a vastly longer game, 8*243=1944 single moves as opposed to 8*27=216. I wonder if that might have been the original version; even if the “rabbit” shape is somewhat lost.
Summsumm2 (
talk)
15:32, 10 September 2023 (UTC)reply
Yes, I just verified this on my spreadsheet: the position repeats after 243 circuits. In the original version it repeats after 27 circuits, which is also a multiple of 9. I can prove that with 8 holes and 14 seeds it has to be a multiple of 9, but with only 13 seeds I can only prove that it has to be a multiple of 3.
This article is within the scope of WikiProject Africa, a collaborative effort to improve the coverage of
Africa on Wikipedia. If you would like to participate, please visit the project page, where you can join
the discussion and see a list of open tasks.AfricaWikipedia:WikiProject AfricaTemplate:WikiProject AfricaAfrica articles
This article is within the scope of
WikiProject Games, a project which is currently considered to be inactive.GamesWikipedia:WikiProject GamesTemplate:WikiProject GamesGames articles
This article is part of WikiProject Board and table games, an attempt to better organize information in articles related to
board games and
tabletop games. If you would like to participate, you can edit the article attached to this page, or visit the
project page, where you can join the project and/or contribute to the
discussion.Board and table gamesWikipedia:WikiProject Board and table gamesTemplate:WikiProject Board and table gamesboard and table game articles
Incidentally, replacing all 2s with 1s and vice versa, as well as starting with the head, gives a vastly longer game, 8*243=1944 single moves as opposed to 8*27=216. I wonder if that might have been the original version; even if the “rabbit” shape is somewhat lost.
Summsumm2 (
talk)
15:32, 10 September 2023 (UTC)reply
Yes, I just verified this on my spreadsheet: the position repeats after 243 circuits. In the original version it repeats after 27 circuits, which is also a multiple of 9. I can prove that with 8 holes and 14 seeds it has to be a multiple of 9, but with only 13 seeds I can only prove that it has to be a multiple of 3.