
Journal for Geometry and Graphics 19 (2015), No. 2, 219226 Copyright Heldermann Verlag 2015 Rose Curves with Chebyshev Polynomials Lászlo Németh Institute of Mathematics, University of West Hungary, Ady E. u. 5, 9400 Sopron, Hungary nemeth.laszlo@emk.nyme.hu We present a class of curves derived from a geometrical construction. We take points on two halflines (or lines). The first point is on one of the halflines and the second one is on the other halfline, while the next is again on the first halfline, and so on. The distance of two consecutive points is the unit. The orbits of these points when the angle of the lines goes from zero to 2π are similar to lemniscates and rose curves. For determining the parametric equation systems of the curves we use Chebyshev polynomials. Keywords: Lemniscate, rose curve, Chebyshev polynomials. MSC: 51N20 [ Fulltextpdf (355 KB)] for subscribers only. 