Predicting Planned Pooling Patterns
Proceedings of Bridges 2024: Mathematics, Art, Music, Architecture, Culture
Pages 361–364
Short Papers
Abstract
We mathematically analyze the striking visual effect known as planned pooling that arises in knit and crochet patterns when working back and forth with variegated yarn dyed at consistent intervals. Our main result identifies three desirable planned pooling pattern families and provides formulas for choosing row lengths to obtain those patterns.