3 citations · 6 across the 5 of their papers we have counts for
6 papers
A robot that unknots knots
Connie On Yu Hui, Dionne Ibarra, Louis H. Kauffman +4
Consider a robot that remembers only the starting position and walks along a knot once on a knot diagram, switching every undercrossing it meets until it returns to the starting po…
Volume bounds for hyperbolic rod complements in the 3-torus
Norman Do, Connie On Yu Hui, Jessica S. Purcell
The study of rod complements is motivated by rod packing structures in crystallography. We view them as complements of links comprised of Euclidean geodesics in the 3-torus. Recent…
A lower bound for the volumes of modular link complements
Connie On Yu Hui, Dionne Ibarra, José Andrés Rodríguez Migueles
Every finite collection of oriented closed geodesics in the modular surface has a canonically associated link in its unit tangent bundle coming from the periodic orbits of the geod…
Modular links: Bunch algorithm and upper volume bounds
Connie On Yu Hui, José Andrés Rodríguez Migueles
In the 1970s, Williams developed an algorithm that has been used to construct and study modular links in the Lorenz template. We introduce an improved algorithm, which we call the…
A geometric classification of rod complements in the 3-torus
Connie On Yu Hui
Rod packings are used in crystallography to describe crystal structures with linear or zigzag chains of particles, and each rod packing can be topologically viewed as a collection…
On the geometry of rod packings in the 3-torus
Connie On Yu Hui, Jessica S. Purcell
Rod packings in the 3-torus encode information of some crystal structures in crystallography. They can be viewed as links in the 3-torus, and tools from 3-manifold geometry and top…