Keywords
discrete subgroup; spacetime; periodic; isometry; pattern
Abstract
In this thesis, there is a presentation of the isometries from the Lorentz-Minkowski Plane and a solution to the Frieze Patterns. There is a suggestion for a solution for the Tiling Patterns. Since the construction of these mathematical structures is well understood in the Euclidean plane, one can follow a similar approach to the construction of such objects to find the unique number of groups that describe all possible frieze patterns while there is a suggestion of the number for the tiling case. There is a reflection of these results in a computational and cosmological context.
Thesis Completion Year
2024
Thesis Completion Semester
Spring
Thesis Chair
Dr. Costas Efthimiou
College
College of Sciences
Department
Physics
Thesis Discipline
Mathematical Physics
Language
English
Access Status
Open Access
Length of Campus Access
None
Campus Location
Orlando (Main) Campus
STARS Citation
Lynch, Michael O., "Frieze and Tiling Groups in the Lorentz-Minkowski Plane" (2024). Honors Undergraduate Theses. 111.
https://stars.library.ucf.edu/hut2024/111
Included in
Algebra Commons, Geometry and Topology Commons, Other Physical Sciences and Mathematics Commons, Other Physics Commons
Rights Statement
