Wikipedia:WikiProject Golden ratio: Difference between revisions

This is a WikiProject, an area for focused collaboration among Wikipedians. New participants are welcome; please feel free to participate! Guide to WikiProjects Directory of WikiProjects

Welcome to WikiProject Golden ratio. Some Wikipedians have formed this collaboration resource and group dedicated to improving Wikipedia's coverage of Golden ratio and the organization of information and articles on this topic. This page and its subpages contain their suggestions and various resources; it is hoped that this project will help to focus the efforts of other Wikipedians interested in the topic. If you would like to help, please join the project, inquire on the talk page and see the to-do list below.

• Categorize the articles about golden ratio and promote the global development of the topic.

• Golden ratio in the universe
• Golden ratio in human production
• The evolution of the use and knowledge of the golden ratio through history

• Categorize the works that have been recognized by featuring golden ratio in their design.
• Explain how these works feature golden ratio in their design in their respective articles.

To-do list for Wikipedia:WikiProject Golden ratio: edit · history · watch · refresh · Updated 2008-03-11 Here are some tasks awaiting attention: Stubs : Create stub tags Create templates for the talk pages of the related articles. Define the ideal related categories (I'm not crazy about the way I named them)

Please feel free to add yourself here, and to indicate any areas of particular interest.

1. 20-dude (talk)
2. [[::User:Alanbly|Alanbly]] ([[::User talk:Alanbly|talk]] · [[::Special:Contributions/Alanbly|contribs]]) - Vandal fighting and collaboration
3. dicklyon – make sure that claims of use of golden ratio are not made except where verifiable.
4. ≈ jossi ≈ (talk)
5. Finell (Talk)

• Solids
  • Dodecahedron
  • Hexahedron
  • Icosahedron
  • Octahedron
  • Tetrahedron
• Canons of page construction
• Fibonacci series
• Fibonacci spiral
• Golden angle
• Golden ratio base
• Golden ratio
• Golden rectangle
• Golden section search
• Golden spiral
• Golden triangle
• Kepler triangle
• Lucas number
• Lute of Pythagoras
• Modulor
• Pentagram
• Platonic solid
• Proportion (architecture)
• Sacred geometry
• The Elements of Dynamic Symmetry

Featured content

Candidates

New articles

Please feel free to list your new Golden Ratio-related articles here (newer articles at the top, please). Any new articles that have an interesting or unusual fact in them, are at least over 1,000 characters, don't have any dispute templates on them, and cite their sources, should be suggested for the Did you know? box on the Wikipedia Main Page.

• List of works designed with golden ratio
• Saint Benedict Square, its a perfect square divided in three by marking the golden section to the inside, so that each side would be divided in φ²+φ³+φ² (=1). It owes its name to the Saint Benedict Medal and is used in the Plan of Saint Gall, both gothic works.

Review and assessment

Peer review

Assessment

We need a stub template, and template to put in the talk pages of the related articles.

• Category:Golden ratio

For articles dedicated to explain the properties or aspects of golden ratio.
(NOTE: Not for articles about stuff that happens to have golden proportions)

• Category:Fibonacci numbers

For articles dedicated to explain the properties or aspects of the Fibonacci numbers.
(NOTE: Not for articles about stuff that happens to be related to the Fibonacci numbers)

Proposals

• Category:Works designed with golden ratio

  Stonehenge, Pyramid of Djoser, Khesi-Ra's tomb, Great Pyramid of Giza, The instructions for Noah's Ark in the Genesis 6:15, Ark of the Covenant, Acropolis, Parthenon, The Porch of the Caryatids (On the south side of the Erechtheum), Phidias' sculptures, Venus de Milo, Saint Benedict Medal, Plan of Saint Gall, Cathedral of Chartres, Cathedral of Notre-Dame in Laon, Notre Dame de Paris, De divina proportione, Vitruvian Man, Leonardo da Vinci's self portrait, Mona Lisa, The Last Supper, The Holy Family (painting), David, Mexico City Metropolitan Cathedral, Cristo Crucificado, The Roses of Heliogabalus, Une Baignade, Asnières, Palacio Barolo, Palacio Salvo, The Sacrament of the Last Supper‎, Farnsworth House, Villa Stein, Villa Savoye, Unité d'Habitation, United Nations Headquarters

  Further information: List of works designed with golden ratio

  for citations and sourcing

• Other proposed names for this category (propose here): Designs with golden proportions, works with golden proportions.

• Category:Designers that used golden ratio

  Hemon, Iktinos and Kallikrates, Phidias, Leonardo da Vinci, Michaelangelo, Diego de Velázquez, Georges-Pierre Seurat, Mario Palanti, Mies van der Rohe, Le Corbusier, Salvador Dali, Mondrian, Mario Botta, Andrew Rogers, James Tenney, James Tenney, Brian Transeau, Pearl Drums

  • Other proposed names for this category (propose here): Artist and designers tat used golden proportions.

• Category:Researchers of the golden ratio

  Pythagoras, Plato, Euclid, Fibonacci, Villard de Honnecourt, Luca Pacioli, Michael Maestlin, Johannes Kepler, Charles Bonnet, Martin Ohm, Edouard Lucas, Gustav Fechner, Mark Barr, Matyla Ghyka‎, Roger Penrose, Roy Howat, Oxford physicist Roger Penrose^[1]

  • Other proposed names for this category (propose here):...

• Category:Organisms in published studies of the golden ratios (virtually any organism has it, but this is only for organisms that have been specifically studied in diverse publications dedicated to the golden ratio)

  Some examples of organisms in published studies of the golden ratios: The nautilus, the human body proportion, the reproduction of rabbits (Fibonacci started by observing the rabbits), the reproduction of cows (Henry E. Dudeney), the number of petals in flowers, the sunflower spirals, the pine cones, species of Radiolaria (shaped like polyhedra) and viruses (such as the herpes virus, have the shape of a regular icosahedron).

  • Other proposed names for this category (propose here):

• Category:Golden ratio in the universe (stars, orbits, planets, etc)
  • Other proposed names for this category (propose here): Golden proportions in astronomy

List of sources

Here is a list of recommended sources to be used in the related articles.

Writings of the historic researchers

• PINGALA, Chandah-shāstra, the Art of Prosody. 450 or 200 BC.
• FIBONACCI
  • Liber Abaci. 1202.
    The sequence was first studied by Leonardo of Pisa, known as Fibonacci, this book. He considers the growth of an idealized (biologically unrealistic) rabbit population, assuming that: a)in the first month there is just one newly-born pair, b) new-born pairs become fertile from after their second month, c)each month every fertile pair begets a new pair, and c)the rabbits never die.
  • Practica Geometriae (1220), a compendium on geometry and trigonometry.
  • Flos (1225), solutions to problems posed by Johannes of Palermo
  • Liber quadratorum, ("The Book of Squares") on Diophantine equations, devoted to Emperor Frederick II. See in particular Fibonacci's identity.
  • Di minor guisa (on commercial arithmetic; lost)
  • Commentary on Book X of Euclid's Elements (lost)
• PACIOLI, Luca. De divina proportione. Venice, 1509.
  The architectural treaty that guided the reinassanse artists.
• KEPLER, Johannes A New Year Gift: On Hexagonal Snow. Oxford University Press, 92. ISBN 0198581203. Strena seu de Nive Sexangula (1611)
• GHYKA, Matyla
  • Esthétique des Proportions. 1927.
  • Le nombre d'or. 1931.
  • The Geometry of Art and Life. 1946
  • A Handbook of Practical Geometry. 1952.
• LE CORBUSIER
  • The Modulor. 1948.
    The book in which Le Corbusier proposes a system that uses units derivated from the human body and the golden ratio.
  • The Modulor 2. 1955

Scientific journals, courses and publications

• KNOTT, Ron. Fibonacci's Rabbits. University of Surrey School of Electronics and Physical Sciences.
• KNUTH, Donald. The Art of Computer Programming.
  A comprehensive monograph written by Donald Knuth that covers many kinds of programming algorithms and their analysis
• CHANFÓN OLMOS, Carlos. Curso sobre Proporción. Procedimientos reguladors en construcción. Convenio de intercambio UNAM - UADY. México - Mérica, 1991
  This study features a series of proportional analysis of diverse geometrical figures, organisms and works of architecture and art.

Other publications

• VAJDA, Steven. Fibonacci and Lucas Numbers, and the Golden Section: Theory and Applications. Dover Books on Mathematics. December 26, 2007

Internet sites

From scientific or academic organizations

• Fibonacci Numbers and the Golden Section: The Home page for Dr Ron Knott's multimedia web site on the Fibonacci numbers, the Golden section and the Golden string hosted by the Mathematics Department of the University of Surrey, UK.
• Museum of Harmony and Golden Section: Recognized the best site by the Russian Informational Network "The Best in Internet". Created by Alexey Stakhov (e-mail: harmonybook@hotmail.com). Doctor of Sciences in Computer Science (1972), Full Professor (1974), Academician of the Ukrainian Academy of Engineering Sciences (1992).
• Plus magazine

Amateur

• Goldennumber.net: By Gary Meisner, "The Phi Guy". It provides several sources.
• Michael's Crazy Enterprises
• Goldenratio.org: Dawson Merrill's Fibonacci and Golden Ratio Link web page

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