Exploring the Golden Section: Architecture, Art, Music & More
Discover the fascinating world of the Golden Section method through its applications in architecture, art, music, and more. From the Parthenon in Athens to Leonardo da Vinci's artwork, see how this technique has influenced various creative fields. Learn about the Golden Section search technique for finding function extremums and its historical significance.
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Presentation Transcript
Golden Section Search By Leon Gradisar (531/2010)
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 The Parthenon in Athens, Greece was constructed in the 5thcentury B.C. Its front dimensions can be fit exactly within a golden rectangle 3/6
Golden Section Art ~ Golden section can be found in Leonardo da Vinci s artwork The Annunciation 4/6
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 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 inside which the extremum is known to exist. -The technique derives its name from the fact that the algorithm maintains the function values for triples of points whose distance s form a golden ratio. 3/10
