Graduation Year
2016
Document Type
Open Access Senior Thesis
Degree Name
Bachelor of Arts
Department
Mathematics
Reader 1
David Bachman
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Rights Information
© 2016 Lucinda-Joi E. Chu-Ketterer
Abstract
Parametric equations are commonly used to describe surfaces. Looking at parametric equations does not provide tangible information about an object. Thus through the use of physical materials, an understanding of the limitations of the materials allows someone to gain a broader understanding of the surface. A M$\ddot{o}$bius strip and Figure 8 Klein bottle were created through knitting due to the precision and steady increase in curvature allowed through knitting. A more standard Klein bottle was created through crochet due to the ease in creating quick increases in curvature. Both methods demonstrate the change in curvature for both surfaces where the M$\ddot{o}$bius strip and Figure 8 Klein bottle have slower changes in curvature, but the classic Klein bottle has a quicker change in curvature.
Recommended Citation
Chu-Ketterer, Lucinda-Joi, "Exploration of Curvature Through Physical Materials" (2016). Pitzer Senior Theses. 68.
https://scholarship.claremont.edu/pitzer_theses/68
