Areas of polygons with coordinates of vertices from various sequences

Zvonko Čerin; Gian Mario Gianella; Boris Krasnov

doi:10.17654/NT039040551

Areas of polygons with coordinates of vertices from various sequences

Zvonko Čerin, Gian Mario Gianella, Boris Krasnov

The Swiss Institute for Dryland Environmental and Energy Research

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	551-567
Number of pages	17
Journal	JP Journal of Algebra, Number Theory and Applications
Volume	39
Issue number	4
DOIs	https://doi.org/10.17654/NT039040551
State	Published - 1 Jan 2017

Keywords

Area
Coordinates
Horadam
Lucas
Polygon
Vertices

ASJC Scopus subject areas

Algebra and Number Theory

Access to Document

10.17654/NT039040551

Cite this

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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.",

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AB - 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.

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KW - Lucas

KW - Polygon

KW - Vertices

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Areas of polygons with coordinates of vertices from various sequences

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

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