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Natural Sections in Product Design

  • Page, Tom (Electronic Product Design in Department Design and Technology Loughborough University) ;
  • Thorsteinsson, Gisli (Design and Craft Education Department University of Iceland) ;
  • Ha, Joong-Gyu (Industrial Design in Fine Art Education Department Gyeongsang National University)
  • 투고 : 2010.06.04
  • 심사 : 2010.07.14
  • 발행 : 2010.09.28

초록

The golden ratio is a mysterious number that surprisingly appears in science, physics, mathematics, as well as in nature. The number 1.618 seems to be a universal constant, and crops up whenever the subject is of beauty or elegance. Beautiful flowers and sea shells and also attractive people have a common number and that is 1.618 or $\varphi$ (phi). This paper does a study into the story of phi, and describes how the golden ratio is derived. Artists, architects and designers have employed the ratio into dimensioning their works of art to achieve visual appeal. Examples such as the Greek Parthenon of the Acropolis and paintings such as the Last Supper all use this magic number. An investigation was conducted among 50 people to test if looking at golden proportioning was actually appealing, or if it was just a type among overzealous enthusiasts. The results show that the golden ratio may actually be of some use.

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참고문헌

  1. Agarwal, R, 2001, "Golden Ratio in science, as random sequence source, its computation and beyond", Computers and Mathematics with Applications 56, 2008, pp.469-498. https://doi.org/10.1016/j.camwa.2007.06.030
  2. Devlin, K, The Math Instinct: Why You're A Mathematical Genius (Along With Lobsters, Birds, Cats, And Dogs), Thunder's Mouth Press, New York, 2005.
  3. Dunlap, R, The golden ratio and Fibonacci numbers, Singapore, London : World Pacific, 1997.
  4. Elam, K, Geometry of Design, Princeton Architectural Press, New York, 2001.
  5. GoldenNumber, 2009, "GoldenNumber.net", Available at: http://goldennumber.net [Accessed Jan 2009]
  6. GoldenMeanGauge, 2009, "TheGoldenProportion", Availableat:http://www.goldenmeangauge.co.uk/index2.htm [Accessed Jan 2009]
  7. Knott, R, 2008, "The Fibonacci Numbers and Golden Section in Nature", Available at: http://www.mcs. Surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html [Accessed Apr 2009]
  8. Livio, M, 2002, "The golden ratio and aesthetics", Available at: http://plus.maths.org/issue22/features/ Golden [Accessed Jan 2009]
  9. Livio, M, The golden ratio: the story of phi, the extraordinary number of nature, art and beauty, Review, London, 2002.
  10. Mullard, P, 1999, "Proportions and use of the Golden Section in furniture design", Available at: http:// members.fortunecity.com/petemullard/mobaing.html [Accessed Jan 2009]
  11. Marquardt Beauty Analysis, 2009, "MBA California", Available at: http://www.beautyanalysis.com/index2_ mba.htm [Accessed Apr 2009]
  12. Padovan, Richard, Proportion: Science, Philosophy, Architecture. London: Taylor & Francis., 1999. pp. 305– 306. ISBN 0-419-22780-6.
  13. Phi Chi Sticks, 2009, "Phi Chi Sticks", Available at: http://www.phichisticks.com/ [Accessed Apr 2009]
  14. PhiDental, 2005, "Dr. Levin's Phi Dental Grid by PhiMatrix", Available at: http://www.phidental.com/ [Accessed Apr 2009]
  15. Phyllotaxis, 2009, "Phyllotaxis", Available at http://maven.smith.edu/-phyllo/ [Accessed Apr 2009]
  16. Thomas, B, Geometry in Pictorial Composition, Newcastle Upon Tyne, Oriel Press Limited, 1969.
  17. Vajda, S, Fibonacci and Lucas numbers, and the golden section: theory and applications, Chichester: Ellis Horwood, 1989.
  18. Wikipedia, 2009, "Golden Ratio", Available at: http://en.wikipedia.org/wiki/Golden_ratio [Accessed Jan 2009]
  19. Wikipedia, 2009, "List of works designed with the goldenratio", Available at: http://en.wikipedia.org/wiki/List of works designed with the golden ratio [Accessed Jan 2009]
  20. Wikipedia (2009), "Phyllotaxis", Available at: http://en.wikipedia.org/wiki/Phyllotaxis [Accessed Apr 2009]