6 papers
On the Group Structure of "Magic" Leatherworking Braids
William Hobkirk, Abigail Hollingsworth, Elisabetta A. Matsumoto +1
\emph{Magic braids} are used in leatherworking to make intricate straps and bands. They appear to be impossible to make. To determine which braids can be made with this leatherwork…
A study of 2-periodic weft-knitted textiles using the theory of knots and links
Miriam Kuzbary, Shashank G. Markande, Elisabetta A. Matsumoto +1
In this study, we use a correspondence between two-periodic weft-knitted textiles and links in the thickened torus to study the former using link invariants. We establish a criteri…
Chiral Analogues of Knit Stitches Designed Using Chiral Topology
Shunsuke Takano, Yusuke Kochi, Ken'ichi Yoshida +4
Fabrics are flexible thin structures made of entangled yarn or fibers, yet the topological bases of their mechanics remain poorly understood. For weft knitted fabrics, we describe…
Augmenting knee biomechanics through programmable knitted ExoSkin orthoses
Krishma Singal, Samuel P. Kirschner, Andrew K. Schulz +4
A large subset of the population suffers injury or disease that causes knee pain and difficulty navigating day-to-day tasks. Off-the-shelf knee orthoses that are commonly used to t…
On the isotopies of tangles in periodic 3-manifolds using finite covers
Yuka Kotorii, Sonia Mahmoudi, Elisabetta A. Matsumoto +1
A periodic tangle is a one-dimensional submanifold in that has translational symmetry in one, two or three transverse directions. A periodic tangle can be seen as th…
Pulling apart the mechanisms that lead to jammed knitted fabrics
Sarah E. Gonzalez, Michael S. Dimitriyev, A. Patrick Cachine +1
We investigate the mechanical behavior of jammed knitted fabrics, where geometric confinement leads to an initially stiff mechanical response that softens into low stiffness behavi…