Lattice polygon
Source: Chinese TST
April 9, 2008
analytic geometrygeometrymodular arithmetictrapezoidinductiontrigonometrynumber theory proposed
Problem Statement
Find all positive integers having the following properties:in two-dimensional Cartesian coordinates, there exists a convex lattice polygon whose lengths of all sides are odd numbers, and unequal to each other. (where lattice polygon is defined as polygon whose coordinates of all vertices are integers in Cartesian coordinates.)