Undergraduate Honors Thesis

 

Parameterizations of Descartes Quadruples Öffentlichkeit 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.

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Date Awarded
  • 2024-04-10
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Granting Institution
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Zuletzt geändert
  • 2024-04-22
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Urheberrechts-Erklärung
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