1st Edition

A Stitch in Line Mathematics and One-Stitch Sashiko

By Katherine Seaton Copyright 2025
    194 Pages 110 Color Illustrations
    by A K Peters/CRC Press

    194 Pages 110 Color Illustrations
    by A K Peters/CRC Press

    A Stitch in Line: Mathematics and One-Stitch Sashiko provides readers with instructions for creating hitomezashi items with minimum outlay. The reader is guided through the practical steps involved in creating each design, and then the mathematics which underpins it is explained in a friendly, accessible way. This is a fantastic book for anyone who is interested in recreational mathematics and/or fibre arts and can be a useful resource for teaching and learning mathematical concepts in a fun and engaging format.


    • Numerous full-colour photographs of hitomezashi stitch patterns which have been mathematically designed.
    • Suitable for readers of all mathematical levels and backgrounds — no prior knowledge is automatically assumed.
    • A compressed encoding for recording and designing hitomezashi patterns to be stitched or drawn.
    • Accessible explanations and explorations of mathematical concepts inherent in, or illustrated by, hitomezashi patterns.

    Section I. Getting Started. 1. Background. 2. Counting: 0, 1, 2. 3. Loops. Section II. Three Big Ideas. 4. On the Flip Side. 5. Random Patterns. 6. Symmetry. Section III. Generating Art. 7. Codes, Coding and Algorithms. 8. Snowflakes. 9. Quasiperiodic patterns. 10. Corners. 11. Off the grid. 


    Katherine Seaton holds a B. Sc. and Ph. D. in mathematics from the University of Melbourne and a Graduate Certificate in Higher Education
    from La Trobe University, both in Australia. For more than 27 years she worked in teaching and research in the Department of Mathematics and
    Statistics at La Trobe where, now retired, she holds an honorary position. Katherine’s original research was in mathematical physics; over time she added tertiary mathematics education (assessment and academic integrity) and mathematical art to her areas of interest. As well as her formal educational qualifications, she learned to stitch, knit and crochet at a young age, from her mother, her grandmother and her Brownie Guide leaders respectively. Katherine is a strong advocate for using fibre arts to widen perspectives on what it means to do mathematics and on who is a mathematician. She has published in the Journal of Mathematics and the Arts and has spoken and exhibited hitomezashi at Bridges conferences since 2018. Where possible, she uses repurposed materials in her practice. Her mathematical fibre art can be found on instagram: @maths_kath.