On elliptic curves with a closed component passing through a hexagon
Loading...
Date
2019-06-01
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Ovidius University
Altmetrics
Abstract
In general, there exists an ellipse passing through the vertices of a convex pentagon, but there is no ellipse passing through the vertices of a convex hexagon. Thus, attention is turned to algebraic curves of the third degree, namely to the closed component of certain elliptic curves. This closed curve will be called the spekboom curve. Results of numerical experiments and some hypotheses regarding hexagons of special shape
connected with the existence of this curve passing through the vertices are presented and suggested.
Some properties of the spekboom curve are described, too.
Description
Citation
Analele Stiintifice Ale Universitatii Ovidius Constanta, Seria Matematica. 2019, vol. 27, issue 2, p. 67-82.
http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf
http://www.anstuocmath.ro/mathematics/anale2019vol2/03_Kures.pdf
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
(C) Ovidius University