Non-orientable Nurikabe

Journal of Combinatorics 2026 Open access

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Authors: Joseph Breen, Emma Copeland
DOI: 10.4310/joc.260511230054
Cited by: 0

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 $1\times n$. Our results establish new connections among the OEIS sequences A101946, A213387, A123203, and A001045 (the Jacobsthal sequence).

Fields of Study & Subjects

Genetic Neurodegenerative Diseases

Publication details

Journal / source
Journal of Combinatorics
Publisher
International Press of Boston
Volume
17
Issue
4
Pages
483–505
Publication date
1 January 2026
Language
EN