2 papers
math.PR2024
Perfect t-embeddings and Lozenge Tilings
Tomas Berggren, Matthew Nicoletti, Marianna Russkikh
We construct perfect t-embeddings for regular hexagons of the hexagonal lattice, providing the first example, and hence proving existence, for graphs with an outer face of degree g…
math.CO2023
Shuffling algorithm for coupled tilings of the Aztec diamond
David Keating, Matthew Nicoletti
In this article we define a generalization of the domino shuffling algorithm for tilings of the Aztec diamond to the interacting -tilings recently introduced by S. Corteel, A. G…