Date of Graduation
Fall 2023
Degree
Master of Science in Mathematics
Department
Mathematics
Committee Chair
Les Reid
Abstract
In the study of geometry, the notion of dissection and its mechanics are occasionally over-looked. We consider and trace the history and theorems surrounding geometric dissections in both recreational and academic mathematics. We explore the important advancements in this particular topic from antiquity through the nineteenth and early twentieth centuries. We conclude with an exploration of the Banach-Tarski paradox
Keywords
geometry, geometric dissections, Banach-Tarski paradox, Dehn invariant, Wallace-Bolyai-Gerwien theorem
Subject Categories
Geometry and Topology
Copyright
© Daniel Robert Martin
Recommended Citation
Martin, Daniel Robert, "Geometric Dissections" (2023). MSU Graduate Theses/Dissertations. 3909.
https://bearworks.missouristate.edu/theses/3909
