A Survey of Cellular Automata in Fiber Arts

  • Joshua HoldenEmail author
  • Lana Holden
Living reference work entry


Cellular automata provide a natural way of exploring the intersection between mathematics and art, and many fiber arts provide natural ways of depicting cellular automata. We review some of the types of cellular automata, including elementary cellular automata, the Game of Life and “lifelike” cellular automata, and stranded cellular automata. We then provide a survey of many of the different ways that cellular automata have been used in fiber arts. This includes both depictions of well-known patterns produced by cellular automata and also cellular automata that were specifically designed or specifically chosen for their suitability in fiber media.


Cellular automata Fiber arts Game of Life Elementary cellular automata Sierpiński triangle Knitting Crochet Weaving Cross-stitch Beading 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Rose-Hulman Institute of TechnologyTerre HauteUSA
  2. 2.SkewLoose, LLCTerre HauteUSA

Section editors and affiliations

  • Bharath Sriraman
    • 1
  • Kyeong-Hwa Lee
    • 2
  1. 1.Department of Mathematical SciencesThe University of MontanaMissoulaUSA
  2. 2.Department of Mathematics Education, College of EducationSeoul National UniversitySeoulSouth Korea

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