Undergraduate Honors Thesis
Parameterizations of Descartes Quadruples Public Deposited
https://scholar.colorado.edu/concern/undergraduate_honors_theses/1r66j2803
- Abstract
A Descartes quadruple is a set of four mutually tangent circles. A Descartes quadruples generates what is known as an Apollonian circle packing. By studying the ratios of the circles' curvatures, two distinct types of symmetric packings quadruples appear. We give parameterizations of these Descartes quadruples and count how many packings of each type are contained by a given enclosing circle.
- Creator
- Date Awarded
- 2024-04-10
- Academic Affiliation
- Advisor
- Granting Institution
- Subject
- Dernière modification
- 2024-04-22
- Resource Type
- Déclaration de droits
- Language
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Kertzer_Clyde_Defense_Copy__Final.pdf | 2024-04-17 | Public | Télécharger |