The author of this document has limited its availability to on-campus or logged-in CSUSB users only.
Off-campus CSUSB users: To download restricted items, please log in to our proxy server with your MyCoyote username and password.
Date of Award
Restricted Thesis: Campus only access
Master of Arts in Mathematics
First Reader/Committee Chair
The Poincaré Disk plays a significant role in non-Euclidean geometry. Inverting points, segments, or polygons through a circle provides us with a deep vision of the link between Euclidean and non-Euclidean geometry; especially when we try to prove lemmas, constructions, or conjectures. All points inside a circle, c, represent a Poincaré Disk denoted Dc, and all "lines" in a Poincaré Disk are d-lines, which are circles orthogonal to the circle's boundary. The question that motivated my research is: how can we use the properties of the disk, its boundary, and its d-lines to construct hyperbolic polygons? We will construct center-symmetric, hyperbolic polygons in the Poincaré Disk using Euclidean and non-Euclidean geometry and trigonometry tools.
Samweil, Akram Zakaria, "Constructing Hyperbolic Polygons in the Poincaré Disk" (2023). Electronic Theses, Projects, and Dissertations. 1763.