Journal for Geometry and Graphics 21 (2017), No. 1, 037--044
Copyright Heldermann Verlag 2017
A Remarkable Quartic Pretzel Curve
Faculty of Education, University of South Bohemia, Jeronymova 10, Ceské Budejovice, Czech Republic
The topic of this paper, a quartic curve of a remarkable shape, emerged from solving a locus problem originating from an 18th century Latin book of geometrical exercises using dynamic geometry software. Different mathematical representations and various properties, e.g., of a conchoidal nature or a duality with a sixth degree curve, are the subject of this paper.
Keywords: Algebraic curve, geometry teaching, rational parametrization, polar equation, properties of a curve.
MSC: 51M04; 51N35
[ Fulltext-pdf (1248 KB)] for subscribers only.