Aperiodic sets of square tiles with colored corners
Ares Lagae | Jarkko Kari | Philip Dutré |
Contact: Ares Lagae
Report CW 460, Departement Computerwetenschappen, Katholieke Universiteit Leuven, Celestijnenlaan 200A, 3001 Heverlee, Belgium, August 2006
Abstract
In this paper we formalize the concept of square tiles with colored corners, a new kind of tiles closely related to Wang tiles. We construct aperiodic sets of square tiles with colored corners and several new aperiodic sets of Wang tiles using isomorphisms between tilings. The smallest aperiodic set of square tiles with colored corners we have created consists of 44 tiles over 6 colors.