Althoughdiscretegeometryhasarichhistoryextendingmorethan150years,itaboundsinopenproblemsthatevenahigh-schoolstudentcanunderstandandappreciate.Someoftheseproblemsarenotoriouslydifficultandareintimatelyrelatedtodeepquestionsinotherfieldsofmathematics.Butmanyproblems,evenoldones,canbe