Year: 2025
Type: preprint
Abstract: Pete discovered a strong combinatorial description of hitomezashi loops via a bijection to pairs of Dyck paths of the same height. Our main theorem provides an analogous description of hitomezashi loops of nonzero homology class on certain cylindrical hitomezashi patterns. In the process, we complete some of Ren and Zhang's results on the count and possible homology classes of toroidal hitomezashi loops.
Source: arXiv (Cornell University)
Author: Xie, Edwin
Language: English
Subfield: Discrete Mathematics and Combinatorics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4414761035
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