5 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…
Modular links: Bunch algorithm and upper volume bounds
Connie On Yu Hui, José Andrés RodrÃguez 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 lower bound for the volumes of modular link complements
Connie On Yu Hui, Dionne Ibarra, José Andrés RodrÃguez 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…
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…