Single-Strand, Two-Sided Cross-Stitch
D. Jacob Wildstrom

Proceedings of Bridges 2025: Mathematics and the Arts
Pages 365–372
Regular Papers

Abstract

In the art of cross-stitching, the back of the work is typically where strands are carried to transition between different places where a certain color needs to be used; thus, while the back of the work is ideally tidy, it does not typically constitute an attractive pattern in its own right. In addition, the back of the work is also where the ends of strands are fastened. Ideally, then, the extreme in cleanliness of a cross-stitched work would be a work whose back also exhibited an aesthetically pleasing pattern, and which is worked with only one length of thread to minimize the need to fasten ends. Unfortunately, it is impossible to make a coherent pattern of full stitches on a rectangle of fabric satisfying these conditions, but within a well-chosen size of closed loop or Möbius band, it is possible to cross-stitch two-sided artwork with a single thread.

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