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ERIC Number: EJ922136
Record Type: Journal
Publication Date: 2006
Pages: 4
Abstractor: ERIC
Reference Count: 15
ISBN: N/A
ISSN: ISSN-0045-0685
Area of Lattice Polygons
Scott, Paul
Australian Mathematics Teacher, v62 n3 p2-5 2006
A lattice is a (rectangular) grid of points, usually pictured as occurring at the intersections of two orthogonal sets of parallel, equally spaced lines. Polygons that have lattice points as vertices are called lattice polygons. It is clear that lattice polygons come in various shapes and sizes. A very small lattice triangle may cover just 3 lattice points--at the vertices. A very large lattice polygon might be expected to cover many more lattice points. This suggests that there might be a correlation between the area of (simple) lattice polygons and the number of lattice points they cover. This article illustrates a problem solving activity in determining the area of the simple lattice and non-lattice polygons using Pick's theorem. (Contains 7 figures and 3 tables.)
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide 5001, South Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A