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

Open Access

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