Predicting Planned Pooling Patterns
Cameron Barb, Ekaterina Birch, Jared Gonzalez, Claire Jones, Josh Makela, Abigail McClennan, Laura Taalman, and Lauren Wiermanski

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.

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