Research Symposium

BIO

I am a freshman honors student at Florida State University majoring in pure mathematics with a minor in physics. I enjoy learning new math as well as learning about the pedagogical process of math education. I hope to earn a Master's and PhD in math and to be a professor at a research institution in the United States or Europe. I work in the Office of the Provost as part of the Accreditation Analytics team. I volunteer with USARKFL for the promotion of reptile keepers' rights.

Tiling Deficient Squares With L– and T– Tetrominoes

Abstract

We examine a subset of the tetrominoes that includes all rotational and reflective symmetries of L- and T-tetrominoes, and square regions with one square missing, called deficient square regions. We show that all deficient square regions of size n × n are tileable when n ≥ 7 and n is odd. We also show that some cases of deficient 3 × 3 and 5 × 5 regions are untileable with the chosen tile set.

Keywords: Math Tiling Tile Region Deficient