
Journal for Geometry and Graphics 18 (2014), No. 2, 173182 Copyright Heldermann Verlag 2014 On Polygons with Coordinates of Vertices from Fibonacci and Lucas Sequences Ravi Kumar Davala Dept. of Mathematics, National Institute of Technology, Rourkela 769 008, Orissa, India davalaravikumar@gmail.com Gopal Krishna Panda Dept. of Mathematics, National Institute of Technology, Rourkela 769 008, Orissa, India gkpanda_nit@rediffmail.com Polygons in the plane with coordinates of points from the Fibonacci and Lucas sequences are considered. Certain area formulas for these polygons are explored. Restricting these polygons to triangles, some geometric properties are also studied. Keywords: Fibonacci sequence, Lucas sequence, area of triangles, orthologic triangles, paralogic triangles. MSC: 51M25; 11B39 [ Fulltextpdf (109 KB)] for subscribers only. 