The Algebra and Geometry of Isometries
John E. Connett
TL;DR
This paper explores the relationship between algebraic and geometric perspectives on isometries in the plane and the 2-sphere, providing an expository overview of their properties.
Contribution
It offers a comprehensive exposition connecting algebraic and geometric methods for understanding isometries in two-dimensional spaces.
Findings
Unified algebraic and geometric framework for isometries
Clarification of properties of plane and sphere isometries
Educational resource for understanding isometry concepts
Abstract
An expository approach is given on the relationship between algebraic and geometric approaches to properties of isometries in the plane and the 2-sphere.
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Taxonomy
TopicsMathematics and Applications