A New Parameterization for Ford Circles
| dc.contributor.author | McGonagle, Annmarie | |
| dc.date.accessioned | 2018-04-11T18:22:24Z | |
| dc.date.accessioned | 2020-07-22T15:26:15Z | |
| dc.date.available | 2018-04-11T18:22:24Z | |
| dc.date.available | 2020-07-22T15:26:15Z | |
| dc.date.issued | 2011 | |
| dc.identifier.uri | http://hdl.handle.net/20.500.12648/1272 | |
| dc.description | Published in SUNY Plattsburgh's Scientia Discipulorum Journal of Undergraduate Research. Volume 5, issue 1, pages 34-44. 2011. | |
| dc.description.abstract | Lester Ford introduced Ford circles in 1938 in order to geometrically understand the approximation of an irrational number by rational numbers. We shall construct Ford circles by a recursive geometric procedure. The Ford circles also turn out to be parameterized by the rational numbers. We introduce a new parameterization of the set of Ford circles in terms of triples of relatively prime integers that satisfy a certain equation. This is interesting because we have developed a better approximation for irrational numbers between 0 and 1 and because our new parameterization generalizes to a higher dimension. | |
| dc.language.iso | en_US | |
| dc.publisher | Scientia Discipulorum: SUNY Plattsburgh | |
| dc.subject | Ford circle | |
| dc.subject | Diophantine approximation | |
| dc.title | A New Parameterization for Ford Circles | |
| dc.type | Article | |
| refterms.dateFOA | 2020-07-22T15:38:13Z | |
| dc.description.institution | SUNY Plattsburgh | |
| dc.description.contributor | Annmarie McGonagle, Student, Department of Mathematics at SUNY Plattsburgh |
