Convex lattice polygons of minimum area

Author:

Simpson R.J.

Abstract

A convex lattice polygon is a polygon whose vertices are points on the integer lattice and whose interior angles are strictly less than π radians. We define a(2n) to be the least possible area of a convex lattice polygon with 2n vertices. A method for constructing convex lattice polygons with area a(2n) is described, and values of a(2n) for low n are obtained.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference5 articles.

1. [4] Rabinowitz Stanley , Convex Lattice Polygone, Ph.D. Dissertation (Polytechnic University, Brooklyn, New York, 1986).

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