Date of Submission

Spring 2014

Academic Programs and Concentrations

Division of Science, Mathematics, and Computing; Mathematics

Project Advisor 1

John Cullinan

Abstract/Artist's Statement

The study of conic sections has played an important role in the history of mathematics. From their discovery in the 4th century B.C. through work on one of the classical geometric problems, to their role in natural phenomena, their prevalence and importance cannot be overestimated. This exploratory project examines deformations of conic sections, both smooth and non-smooth, through a comprehensive investigation of equidistant sets. We examine the characteristics, similarities, and surprises of these deformations, and seek to categorize them in a constructive way. The results provided confirm and complement other work on the subject and look at different generalizations of conics through non-smooth deformations.

Open Access Agreement

On-Campus only

Creative Commons License

Creative Commons License
This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Share

COinS