Non-orientable Nurikabe
Combinatorics
2026-05-19 v2
Abstract
We study Nurikabe puzzles on non-orientable surfaces. Specifically, we propose two versions of non-orientable Nurikabe and investigate their combinatorics on M\"obius strips, Klein bottles, and projective planes of size . Our results establish new connections among the OEIS sequences A101946, A213387, A123203, and A001045 (the Jacobsthal sequence).
Cite
@article{arxiv.2506.12612,
title = {Non-orientable Nurikabe},
author = {Joseph Breen and Emma Copeland},
journal= {arXiv preprint arXiv:2506.12612},
year = {2026}
}
Comments
v2: improvements following referee feedback; published version