Physical Mathematics Seminar

Tuesday, October 29, 2019 at 2:30pm to 3:30pm

Building 2, Room 131

SPEAKER:  Elisabetta Matsumoto  (Georgia Institute of Technology)

TITLE:  Twisted Topological Tangles or:  the knot theory of knitting

ABSTRACT:

Imagine a 1D curve, then use it to fill a 2D manifold that covers an arbitrary 3D object – this computationally intensive materials challenge has been realized in the ancient technology known as knitting. This process for making functional materials 2D materials from 1D portable cloth dates back to prehistory, with the oldest known examples dating from the 11th century BCE. Knitted textiles are ubiquitous as they are easy and cheap to create, lightweight,  portable, flexible and stretchy. As with many functional materials,  the key to knitting’s extraordinary properties lies in its microstructure.

At the 1D level, knits are composed of an interlocking series of slip knots. At the most basic level there is only one manipulation that creates a knitted stitch – pulling a loop of yarn through another loop. However, there exist hundreds of books with thousands of patterns of stitches with seemingly unbounded complexity.

The topology of knitted stitches has a profound impact on the geometry and elasticity of the resulting fabric. This puts a new spin on additive manufacturing – not only can stitch pattern control the local and global geometry of a textile, but the creation process encodes mechanical properties within the material itself. Unlike  standard additive manufacturing techniques, the innate properties of the yarn and the stitch microstructure has a direct effect on the global geometric and mechanical outcome of knitted fabrics.

Event Type

Conferences/Seminars/Lectures

Events By Interest

Academic

Events By Audience

Public

Events By School

School of Science

Department
Department of Mathematics
Add to my calendar

Recent Activity