Open Access Honors Program Thesis
Bill Wood, Mathematics Department Honors Thesis Advisor
The purpose of this project is to develop an algorithm to create crochet patterns for a variety of surfaces. I start with surfaces of constant curvature: the Euclidean surface and the sphere. Then, I generate patterns for surfaces of revolution by calculating the change in circumference for each row of stitches. My methods suggest an approach to crochet more surfaces such as surfaces whose cross section is not a circle. This research demonstrates how crochet can act as a discrete model of differential geometry. Producing these patterns allows for further research into the surfaces themselves by providing accurate models as well as continues the study of the relationship between crochet and mathematics. By studying this relationship I can increase the amount of understanding of mathematics (a subject often found difficult) for those who understand crafts, such as crochet, by describing mathematics in terms they can better understand. This is a very important part of researching mathematics; not only researching advanced topics in mathematics but also how to teach and demonstrate mathematics to non-mathematical people.
Year of Submission
Department of Mathematics
University Honors Designation
A thesis submitted in partial fulfillment of the requirements for the designation University Honors
1 PDF file (47 pages)
©2013 Katherine Lea Pearce
Pearce, Katherine Lea, "Developing Crochet Patterns for Surfaces of Non-Constant Curvature" (2013). Honors Program Theses. 576.