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  2. 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".

  3. Patterns in nature - Wikipedia

    en.wikipedia.org/wiki/Patterns_in_nature

    Visible patterns in nature are governed by physical laws; for example, meanders can be explained using fluid dynamics. In biology , natural selection can cause the development of patterns in living things for several reasons, including camouflage , [ 26 ] sexual selection , [ 26 ] and different kinds of signalling, including mimicry [ 27 ] and ...

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

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

    For example, claims have been made about golden ratio proportions in Egyptian, Sumerian and Greek vases, Chinese pottery, Olmec sculptures, and Cretan and Mycenaean products from the late Bronze Age. These predate by some 1,000 years the Greek mathematicians first known to have studied the golden ratio.

  5. Phyllotaxis - Wikipedia

    en.wikipedia.org/wiki/Phyllotaxis

    In 1754, Charles Bonnet observed that the spiral phyllotaxis of plants were frequently expressed in both clockwise and counter-clockwise golden ratio series. [12] Mathematical observations of phyllotaxis followed with Karl Friedrich Schimper and his friend Alexander Braun 's 1830 and 1830 work, respectively; Auguste Bravais and his brother ...

  6. Kepler triangle - Wikipedia

    en.wikipedia.org/wiki/Kepler_triangle

    The Kepler triangle is named after the German mathematician and astronomer Johannes Kepler (1571–1630), who wrote about this shape in a 1597 letter. [1] Two concepts that can be used to analyze this triangle, the Pythagorean theorem and the golden ratio, were both of interest to Kepler, as he wrote elsewhere:

  7. 40 Close-Up Wildlife Images That Reveal Nature’s Beauty ...

    www.aol.com/finnish-photographer-takes-close...

    If you want to take a closer look at nature's wonders, you've come to the right place!Ian Granström, a photographer from Southern Finland, captures intimate wildlife images of foxes, birds, elk ...

  8. Rhombicosidodecahedron - Wikipedia

    en.wikipedia.org/wiki/Rhombicosidodecahedron

    where φ = ⁠ 1 + √ 5 / 2 ⁠ is the golden ratio. Therefore, the circumradius of this rhombicosidodecahedron is the common distance of these points from the origin, namely √ φ 6 +2 = √ 8φ+7 for edge length 2. For unit edge length, R must be halved, giving R = ⁠ √ 8φ+7 / 2 ⁠ = ⁠ √ 11+4 √ 5 / 2 ⁠ ≈ 2.233.

  9. Category:Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Category:Golden_ratio

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