Date of Award
Master of Science (MS)
Dr. Alexey Garber
Dr. Alexey Glazyrin
Dr. Oleg Musin
Tilings are mathematical objects that allow us to use geometry to visualize interaction between objects as well as to create artistic realization of mathematical objects in the plane and in the space.
We will focus on tilings of the plane that use only one type of convex pentagonal tile each, the pentagonal tilings. There are fifteen types of pentagonal tiles, with each containing their own set of restrictions. The main result of this thesis is an interactive realization of all fifteen types of pentagonal tiles using GeoGebra.
Hinojosa, Ariana T., "Pentagonal Tilings of the Plane" (2022). Theses and Dissertations - UTRGV. 1055.