Interleaved Friezes: Celtic Knotwork and Hitomezashi
Abstract
Both Celtic knotwork and strips of hitomezashi stitching can be interpreted as being two-sided friezes wherein the patterns on the sides are interleaved. We prove which of the thirty-one two-sided friezes can, and cannot, be realized in hitomezashi, and compare this to the case of Celtic knotwork.
Fields of Study & Subjects
Mathematics and Applications
Geometric and Algebraic Topology
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 30 January 2026
- Document type
- Preprint