JP Journal of Algebra, Number Theory and Applications
Volume 39, Issue 4, Pages 551 - 567
(August 2017) http://dx.doi.org/10.17654/NT039040551 |
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AREAS OF POLYGONS WITH COORDINATES OF VERTICES FROM VARIOUS SEQUENCES
Zvonko ÄŒerin, Gian Mario Gianella and Boris Krasnov
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Abstract: We consider several classes of polygons in the plane with coordinates of their vertices from the Horadam and (general) Lucas numbers. Our goal is to determine formulas for oriented areas of these polygons. Some of our formulas are for polygons with any number of vertices while others deal only with triangles, quadruples, pentagons, hexagons and heptagons. |
Keywords and phrases: area, polygon, vertices, coordinates, Horadam, Lucas. |
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