11 citations · 54 across the 16 of their papers we have counts for
Showing 2022 · math.MGShow all
2 papers · 2 filters
math.MG2022★ 3 cited
Densest plane group packings of regular polygons
Miloslav Torda, John Y. Goulermas, Vitaliy Kurlin +1
Packings of regular convex polygons (-gons) that are sufficiently dense have been studied extensively in the context of modeling physical and biological systems as well as discr…
math.MG2022★ 8 cited
Recognition of near-duplicate periodic patterns by continuous metrics with approximation guarantees
Olga Anosova, Daniel Widdowson, Vitaliy Kurlin
This paper rigorously solves the challenging problem of recognizing periodic patterns under rigid motion in Euclidean geometry. The 3-dimensional case is practically important for…