CombinatorialMethodsinDiscreteMathematics(EncyclopediaofMathematicsanditsApplications)

TheGoldenSectionhasplayedapartsinceantiquityinmanypartsofgeometry,architecture,music,artandphilosophy.However,italsoappearsinthenewerdomainsoftechnologyandfractals.Inthisway,theGoldenSectionisnoisolatedphenomenonbutrather,inmanycases.thefirstandalsothesimplestnon-trivialexampleinthecontextofgeneralisationsleadingtofurtherdevelopments.Itisthepurposeofthisbook,ontheonehand,todescribeexamplesoftheGoldenSection,andontheother,toshowsomepathstofurtherextensions.Thetreatmentisinformalandthetextisenrichedbythepresenceofveryilluminatingdiagrams.Questionsareposedatfairlyfrequentintervalsandtheanswerstothesequestions,perhapsonlyintheformofverybroadhintsfortheirsolution,aregatheredtogetherattheendofthetext.