Mathematics and Physics in Creative Crafts - From Curvature to Knot Theory
IAS | PCMI Park City Mathematics Institute via YouTube
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Overview
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Join a fascinating 50-minute lecture where Dr. Sabetta Matsumoto from Georgia Institute of Technology explores the intricate connections between mathematics and fiber arts. Discover how physics principles manifest in crochet techniques, examine the relationship between stitch patterns and fabric elasticity, and learn how modern manufacturing draws inspiration from traditional textile crafts. Delve into complex mathematical concepts through hands-on examples, including pattern-making and curvature, symmetry exploration through quilt squares and flags, hyperbolic geometry in quilting and crochet, and the application of knot theory in coding through knitted structures. From the historical Jacquard Loom to modern dress design, explore topics like bilateral symmetry, cellular automata, T2 crossings, and how two-dimensional patterns transform into three-dimensional garments.
Syllabus
Intro
The Dragon of Happiness
The Jacquard Loom
The fabric
Symmetry
Flags
Martinque
Attractor
T2 cross
Ribbon
Joint work
Cellular automa
Looking at the pattern
The dress is 2D
Button down shirts
Bilateral symmetry
Darts
Cone
Dress
Scarf
Taught by
IAS | PCMI Park City Mathematics Institute