2 papers
math.NT2022
Extremal Property of the Square Lattice
Paige Helms
Motivated by a 2019 result of Faulhuber-Steinerberger, we demonstrate that the real square lattice exhibits the same local, extremal property as the hexagonal lattic…
math.DS2021
Hyperbolic Staircases: Periodic Paths on -gons
Mei Rose Connor, Diana Davis, Paige Helms +4
The study of polygonal billiards, particularly those in the regular pentagon, has been the subject of two recent papers. One of these papers approaches the problem of discovering t…