Non-orientable Nurikabe

2025/06/14 by Breen, Joseph, Copeland, Emma
#05A19 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2506.12612

Abstract

We study Nurikabe puzzles on non-orientable surfaces. Specifically, we propose two versions of non-orientable Nurikabe and investigate their combinatorics on Möbius strips, Klein bottles, and projective planes of size 1× n. Our results establish new connections among the OEIS sequences A101946, A213387, A123203, and A001045 (the Jacobsthal sequence).

Citations

• The Quaternary Gray Code and How It Can Be Used to Solve Ziggurat and Other Ziggu Puzzles
• Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space

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