The Golden Ratio Essay -- Mathematics Numbers Phi Essays

The Golden balanceCertain pictures, objects, and animals appeal to the human mind more than otherwises. Proportions and images of symmetry lots contribute to our fascination with them. Often, when examined carefully, you whitethorn find a common meeting of minds between man made objects and those found naturally in nature. This fluke, however, may be used to ascertain various mathematical relationships between these objects. This written report will introduce the golden proportionality and weigh its significance on math, art, and nature.1.6180339887. has been given many names varying from the golden balance first-year coined by the Greeks, to the golden rectangle and golden section, phi named after Phidias a famed Greek sculptor, as well as the divine proportion conceived by Leonardo da Vinci. (Blacker, The Golden Ratio) Simply put, the golden ratio is the continuance to width of rectangles used in art and nature. This ratio is considered to be the almost agreeable arrangement, mathematically and artistically, to the eye.Perhaps the first to use the golden ratio were the Egyptians. Many (if not all) of the pyramids were made with the golden ratio kept simply in mind as if they were made however victimization the ratio. Later, the Greeks began using it in their architecture as well as their sculptures. Phidias and others popularized the golden ratio by basing their achievements on it. The Parthenon, specifically, as well as several other buildings and sculptures were the subject of which the ratio has left its mark.The Greeks and the Egyptians were by far not the only people to have been affected by the number. Famous painters and mathematicians have besides recognized the ratios significance.Perhaps the most famous and clamorous use of the gol... ...rt. New York Dorling Kindersley, 1994.Blacker, Steve and Jeanette Polanski and Marc Schwach. Golden Ratio Fibonacci in Nature. Dec. 8, 1999. http//www.geom.umn.edu/demo5337/s97b/sp iral.htmlBlacker, Steve and Jeanette Polanski and Marc Schwach. Golden Ratio. Dec. 8, 1999. http//www.geom.umn.edu/demo5337/s97b/art.htmBrown, Kevin. maths Pages The Golden Pentagon. Dec. 11, 1999. http//www.seanet.com/ksbrown/kmath153.htmFibonacci & The Golden Ratio. Dec. 8, 1999. http//www.aegsp.br/hs/fib/Knott, Dr. Ron. Fibonacci Numbers and Nature. Dec. 8, 1999. http//www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.htmlRabbitsSnyder, Brian Joseph. The Golden beggarly The Golden Section. Dec. 7, 1999. http//www.netreach.net/people/waterboy/phiratio/Stokstad, Marilyn. Art History. New York Prentice Hall, 1999.