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  2. List of works designed with the golden ratio - Wikipedia

    en.wikipedia.org/wiki/List_of_works_designed...

    Many works of art are claimed to have been designed using the golden ratio. However, many of these claims are disputed, or refuted by measurement. [1] The golden ratio, an irrational number, is approximately 1.618; it is often denoted by the Greek letter φ .

  3. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    Other scholars argue that until Pacioli's work in 1509, the golden ratio was unknown to artists and architects. [53] For example, the height and width of the front of Notre-Dame of Laon have the ratio 8/5 or 1.6, not 1.618. Such Fibonacci ratios quickly become hard to distinguish from the golden ratio. [54]

  4. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The psychologist Adolf Zeising noted that the golden ratio appeared in phyllotaxis and argued from these patterns in nature that the golden ratio was a universal law. [92] Zeising wrote in 1854 of a universal orthogenetic law of "striving for beauty and completeness in the realms of both nature and art".

  5. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    For example, when leaves alternate up a stem, one rotation of the spiral touches two leaves, so the pattern or ratio is 1/2. In hazel the ratio is 1/3; in apricot it is 2/5; in pear it is 3/8; in almond it is 5/13. [ 56 ]

  6. Reptiles (M. C. Escher) - Wikipedia

    en.wikipedia.org/wiki/Reptiles_(M._C._Escher)

    Reptiles depicts a desk upon which is a two dimensional drawing of a tessellated pattern of reptiles and hexagons, Escher's 1939 Regular Division of the Plane. [2] [3] [1] The reptiles at one edge of the drawing emerge into three dimensional reality, come to life and appear to crawl over a series of symbolic objects (a book on nature, a geometer's triangle, a three dimensional dodecahedron, a ...

  7. Section d'Or - Wikipedia

    en.wikipedia.org/wiki/Section_d'Or

    The ratio of Seurat's painting/stretcher corresponded to a ratio of 1 to 1.502, ± 0.002 (as opposed to the golden ratio of 1 to 1.618). The compositional axes in the painting correspond to basic mathematical divisions (simple ratios that appear to approximate the golden section).

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  9. Composition (visual arts) - Wikipedia

    en.wikipedia.org/wiki/Composition_(visual_arts)

    Patterns in the frosted glass form leading lines which help draw in the viewer's eye in this photograph of a ledge in the Brooklyn Botanic Garden. Lines are optical phenomena that allow the artist to direct the eye of the viewer. The optical illusion of lines does exist in nature, and in visual arts, elements can be arranged to create this ...