Journal for Geometry and Graphics 18 (2014), No. 2, 173--182
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
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