Jump to content

Talk:El Arnab

Page contents not supported in other languages.
From Wikipedia, the free encyclopedia

Variant

[edit]

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.
---Steve 155.92.15.43 (talk) 16:08, 4 October 2023 (UTC)[reply]