By Leon Gradisar (531/2010) Golden Section Search

Golden Section Method Introduction -Golden Section Method uses constant Interval of reduciton -Which can be seen in different aspects of proportion from geometry to architecture. 2/6

Golden Section Arhitecture 3/6 The Parthenon in Athens, Greece was constructed in the 5 th century B.C. Its front dimensions can be fit exactly within a golden rectangle

Golden Section Art ~ Golden section can be found in Leonardo da Vinci’s artwork 4/6 The Annunciation

Golden Section Music ~ Stradivari used the golden section to place the f-holes in his famous violins ~ Baginsky used the golden section to construct the contour and arch of violins ~ Mozart used the golden section when composing music 5/6

Golden Section Search The Golden section search is a technique for finding the extremum (minimum or maximum) of a strictly unimodal function by successively narrowing the range of values in side which the extremum is known to exist. -The technique derives its name from the fact that the algorithm ma intains the function values for triples of points whose distances for m a golden ratio. 3/10