3 papers
math.GT2025
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…
math.GT2024
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…
math.GT2024
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…