Pentagonal Tilings of the Plane

Author

Ariana T. Hinojosa, The University of Texas Rio Grande Valley

Date of Award

5-2022

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Dr. Alexey Garber

Second Advisor

Dr. Alexey Glazyrin

Third Advisor

Dr. Oleg Musin

Abstract

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.

Comments

Copyright 2022 Ariana T. Hinojosa. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/pentagonal-tilings-plane/docview/2699794827/se-2?accountid=7119

Recommended Citation

Hinojosa, Ariana T., "Pentagonal Tilings of the Plane" (2022). Theses and Dissertations. 1055.
https://scholarworks.utrgv.edu/etd/1055