G05 : Crochet as a Method for Modeling Advanced Mathematical Surfaces: Hyperbolic Geometry and Knot Theory


Students Katie Barbera
School HWCD - Cathedral High School - Hamilton
Level Senior 11/12 - Grade 12
Group Group 7 - Physics II
Abstract This project seeks to enhance the comprehension of advanced mathematical surfaces by modeling them through crochet, offering a tactile method to visualize abstract concepts. Building on hyperbolic geometry, it investigates hyperbolic planes, pseudospheres, Möbius strips, Seifert surfaces, and knot theory, examining properties such as curvature, surface area growth, and parallelism. Crochet techniques facilitate a nuanced, interdisciplinary approach, bridging mathematical theory with tactile, visual representations.