A Recursion in Knitting

Susan Goldstine
Proceedings of Bridges 2016: Mathematics, Music, Art, Architecture, Education, Culture (2016)
Pages 395–398 Short Papers


A knit shawl design with an unusual stitch pattern inspired an exploration of branched knitting, negative curvature, and Fibonacci recursion. The result is Fibonacci Downpour, a negatively curved knitted mesh that follows a simple recursive pattern. Here, we describe the inspiration for the artwork and the recursion that defines it.