Date of Submission
Academic Programs and Concentrations
Project Advisor 1
A rational n-tiling of the unit square is a collection of n triangles with rational side length whose union is the unit square and whose intersections are at most their boundary edges. It is known that there are no rational 2-tilings or 3-tilings of the unit square, and that there are rational 4- and 5-tilings. The nature of those tilings is the subject of current research. In this project we give a combinatorial basis for rational n-tilings and explore rational 6-tilings of the unit square.
Open Access Agreement
Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.
Dorpalen-Barry, Galen, "Rational Tilings of the Unit Square" (2015). Senior Projects Spring 2015. 136.
This work is protected by a Creative Commons license. Any use not permitted under that license is prohibited.