3 papers
math.DG2025
Discrete minimal surfaces: Old and New
Wai Yeung Lam, Masashi Yasumoto
We survey structure-preserving discretizations of minimal surfaces in Euclidean space. Our focus is on a discretization defined via parallel face offsets of polyhedral surfaces, wh…
math.CV2025
Period matrices and homological quasi-trees on discrete Riemann surfaces
Wai Yeung Lam, On-Hei Solomon Lo, Chi Ho Yuen
We study discrete period matrices associated with graphs cellularly embedded on closed surfaces, resembling classical period matrices of Riemann surfaces. Defined via integrals of…
math.CV2017
Minimal surfaces from infinitesimal deformations of circle packings
Wai Yeung Lam
We study circle packings with the combinatorics of a triangulated disk in the plane and parametrize deformations of circle packings in terms of vertex rotation and cross ratios. We…