Knitted origami

Abstract

Techniques are presented for embedding horizontal, vertical, and ${45}^{\circ }$ diagonal crease lines into garter stitch knitted fabric. While these are mostly based on standard lace knitting stitches, the horizontal creases use double-cable-crossed elongated stitches in a non-standard way. This crease library suffices to knit a model of a square twist, a foundational origami tessellation unit.

GRAPHICAL ABSTRACT

Keywords:

• Mathematical knitting
• mathematical origami
• tessellations
• fibre arts

Acknowledgments

The author is grateful to the anonymous referees, whose comments and suggestions increased the clarity and enriched the content of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).