Date of Project
4-19-2024
Document Type
Honors Thesis
School Name
College of Arts and Sciences
Department
Mathematics
Major Advisor
Gregory Kelsey
Abstract
A circle is mathematically defined as the collection of points a given distance away from a set point. Thus, the appearance of a circle varies dramatically across different metrics—for example, the taxicab metric (as popularized by Krause and Reynolds) has a circle that is a Euclidean square. As such, metrics can be partially defined by the appearance of their unit circles. This paper focuses on creating and analyzing an infinite set of metrics defined by their circles being regular polygons. Additionally, it provides a method of exactly generating a regular n-gon given a center, included point, and specified orientation.
Recommended Citation
Ambrosino, Naat, "Geometries Gon Wild" (2024). Undergraduate Theses. 158.
https://scholarworks.bellarmine.edu/ugrad_theses/158