Hexagonal Lattice Systems Based on Rotationally Invariant
Constraints
Leah A. Chrestien
St. Stephen's College
University Enclave, North Campus
Delhi 110007, India
Abstract
In this paper, periodic and aperiodic patterns on hexagonal lattices are developed and studied using a given set of constraints. On exhaustively enumerating all possible two-color patterns for up to a combination of four constraints, 106 distinct periodic tilings are obtained. Only one set of four constraints out of a total of 24157 possible sets generated a pattern that is aperiodic in nature.
