3 papers
math.CO2025
Stones, Bones, and Snakes: Tilability of the hexagonal grid via the double dimer model
Leigh Foster
The question of whether a given region can be successfully filled by a finite set of tiles has been commonly studied, and there are many available arguments for whether a given fin…
math.CO2024
Tilings of Benzels via Generalized Compression
Colin Defant, Leigh Foster, Rupert Li +2
Defant, Li, Propp, and Young recently resolved two enumerative conjectures of Propp concerning the tilings of regions in the hexagonal grid called benzels using two types of protot…
math.CO2023
The squish map and the double dimer model
Leigh Foster, Benjamin Young
A plane partition, whose 3D Young diagram is made of unit cubes, can be approximated by a ``coarser" plane partition, made of cubes of side length 2. Indeed, there are two such app…