BMT 2014 Spring - Discrete P1
Source:
January 6, 2022
geometry
Problem Statement
Let a simple polygon be defined as a polygon in which no consecutive sides are parallel and no two non-consecutive sides share a common point. Given that all vertices of a simple polygon are lattice points (in a Cartesian coordinate system, each vertex has integer coordinates), and each side of has integer length, prove that the perimeter must be even.