Artists

Rachelle Bouchat

Assistant Professor of Mathematics

Indiana University of Pennsylvania

Indiana, Pennsylvania, USA

rbouchat@iup.edu

http://www.people.iup.edu/rbouchat

Statement

As a mathematician, I have always been fascinated with the beauty that mathematics creates and describes. In the past several years, I taught myself to knit and crochet and have been developing mathematically inspired patterns for the fiber arts.

Artworks

Image for entry 'Dragon Curve Double Knit Scarf'

Dragon Curve Double Knit Scarf

137 x 18 cm

Merino Wool Yarn

2015

This double knit scarf brings together the recursive construction of a fractal, the dragon fractal, as well as the recursive construction of an integer sequence, the Fibonacci sequence. The main panels of the scarf are based on a pattern developed from the eleventh iteration of the dragon fractal. Moreover, the striping pattern in between the main panels is illustrative of the Fibonacci sequence with color changes after 1 row, after another 1 row, after 2 rows, after 3 rows, after 5 rows, and with another color change after 8 rows. As this is a double knit pattern, the back side of the scarf is shown in the reverse color pattern.