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

Ben-Gurion University of the Negev

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	American 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

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Access to Document

10.17654/NT039040551

Cite this

@article{0db51fed275c4e7ba9db85ffafa9b573,

title = "Areas of polygons with coordinates of vertices from various sequences",

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 = "Area, Coordinates, Horadam, Lucas, Polygon, Vertices",

author = "Zvonko {\v C}erin and Gianella, {Gian Mario} and Boris Krasnov",

note = "Publisher Copyright: {\textcopyright} 2017 Pushpa Publishing House, Allahabad, India.",

year = "2017",

month = jan,

day = "1",

doi = "10.17654/NT039040551",

language = "American English",

volume = "39",

pages = "551--567",

journal = "JP Journal of Algebra, Number Theory and Applications",

issn = "0972-5555",

publisher = "Pushpa Publishing House",

number = "4",

}

TY - JOUR

T1 - Areas of polygons with coordinates of vertices from various sequences

AU - Čerin, Zvonko

AU - Gianella, Gian Mario

AU - Krasnov, Boris

PY - 2017/1/1

Y1 - 2017/1/1

N2 - 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.

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.

KW - Area

KW - Coordinates

KW - Horadam

KW - Lucas

KW - Polygon

KW - Vertices

UR - http://www.scopus.com/inward/record.url?scp=85028020101&partnerID=8YFLogxK

U2 - 10.17654/NT039040551

DO - 10.17654/NT039040551

M3 - Article

SN - 0972-5555

VL - 39

SP - 551

EP - 567

JO - JP Journal of Algebra, Number Theory and Applications

JF - JP Journal of Algebra, Number Theory and Applications

IS - 4

ER -

Areas of polygons with coordinates of vertices from various sequences

Abstract

Keywords

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this