2019 Icerm Illustrating Mathematics

Sabetta Matsumoto; Henry Segerman; Fabienne Serriere

Artists

Elisabetta Matsumoto and Henry Segerman

Assistant Professor of Physics; Associate Professor of Mathematics

School of Physics, Georgia Institute of Technology; Department of Mathematics, Oklahoma State University

Atlanta, GA; Stillwater, OK

sabetta@gatech.edu

http://matsumoto.gatech.edu

http://segerman.org

Statement

Sabetta Matsumoto is an Assistant Professor in the School of Physics at the Georgia Institute of Technology. She is passionate about using textiles, 3D printing, and virtual reality to teach geometry and topology to the public. Henry Segerman is an Associate Professor in the Department of Mathematics at Oklahoma State University. His interests include geometry and topology, 3D printing, virtual reality, and spherical video. Fabienne Serriere is the founder of KnitYak. She designs and manufactures one-of-a-kind and small run generative textiles featuring elementary cellular automata, Mandelbrot sets, quine code, and more.

Artworks

Image for entry 'Möbius Cellular Automata Scarves'

Möbius Cellular Automata Scarves

70 x 85 x 5 cm

merino wool

2018

KnitYak creates one-off cellular automata scarves. One day someone asked if such designs could be made on a Möbius loop. Rules 105 and 150 respect the necessary symmetry of the double knit scarf. We wrote a program to search for patterns that would be the right dimensions to make a wearable scarf ~100 stitches wide and ~1000 rows long. We found cycles of width 114 and length 1022 for both Rule 105 and Rule 150. These were then knit by KnitYak and hand kitchenered in pattern to maintain Möbius symmetry.