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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. Logarithmic spiral - Wikipedia

    en.wikipedia.org/wiki/Logarithmic_spiral

    The golden spiral is a logarithmic spiral that grows outward by a factor of the golden ratio for every 90 degrees of rotation (pitch angle about 17.03239 degrees). It can be approximated by a "Fibonacci spiral", made of a sequence of quarter circles with radii proportional to Fibonacci numbers .

  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. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    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] After Pacioli, the golden ratio is more definitely discernible in artworks including Leonardo's Mona Lisa. [55]

  6. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Composite patterns: aphids and newly born young in arraylike clusters on sycamore leaf, divided into polygons by veins, which are avoided by the young aphids Living things like orchids, hummingbirds, and the peacock's tail have abstract designs with a beauty of form, pattern and colour that artists struggle to match. [21]

  7. 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 ...

  8. Body proportions - Wikipedia

    en.wikipedia.org/wiki/Body_proportions

    In reality, the navel of the Vitruvian Man divides the figure at 0.604 and nothing in the accompanying text mentions the golden ratio. [ 23 ] In his conjectural reconstruction of the Canon of Polykleitos , art historian Richard Tobin determined √ 2 (about 1.4142) to be the important ratio between elements that the classical Greek sculptor had ...

  9. Category:Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Category:Golden_ratio

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