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

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

    Other scholars question whether the golden ratio was known to or used by Greek artists and architects as a principle of aesthetic proportion. [11] Building the Acropolis is calculated to have been started around 600 BC, but the works said to exhibit the golden ratio proportions were created from 468 BC to 430 BC.

  3. Proportion (architecture) - Wikipedia

    en.wikipedia.org/wiki/Proportion_(architecture)

    The word symmetria, usually translated to "symmetry" in modern renderings, in ancient times meant something more closely related to "mathematical harmony" [3] and measurable proportions. Vitruvius tried to describe his theory in the makeup of the human body, which he referred to as the perfect or golden ratio.

  4. Mathematics and architecture - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_architecture

    The golden ratio was known in 300 B.C., when Euclid described the method of geometric construction. [66] It has been argued that the golden ratio was used in the design of the Parthenon and other ancient Greek buildings, as well as sculptures, paintings, and vases. [67] More recent authors such as Nikos Salingaros, however, doubt all these ...

  5. Golden ratio - Wikipedia

    en.wikipedia.org/wiki/Golden_ratio

    The golden ratio φ and its negative reciprocal −φ −1 are the two roots of the quadratic polynomial x 2 − x − 1. The golden ratio's negative −φ and reciprocal φ −1 are the two roots of the quadratic polynomial x 2 + x − 1. The golden ratio is also an algebraic number and even an algebraic integer.

  6. Mathematics and art - Wikipedia

    en.wikipedia.org/wiki/Mathematics_and_art

    Persistent popular claims have been made for the use of the golden ratio in ancient art and architecture, without reliable evidence. In the Italian Renaissance, Luca Pacioli wrote the influential treatise De divina proportione (1509), illustrated with woodcuts by Leonardo da Vinci, on the use of the golden ratio in

  7. Golden rectangle - Wikipedia

    en.wikipedia.org/wiki/Golden_rectangle

    In geometry, a golden rectangle is a rectangle with side lengths in golden ratio +:, or ⁠:, ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity : if a square is added to the long side, or removed from the short side, the result is a golden rectangle as well.

  8. Ancient Greek architecture - Wikipedia

    en.wikipedia.org/wiki/Ancient_Greek_architecture

    The architecture of ancient Greece is of a trabeated or "post and lintel" form, i.e. it is composed of upright beams (posts) supporting horizontal beams (lintels). Although the existent buildings of the era are constructed in stone, it is clear that the origin of the style lies in simple wooden structures, with vertical posts supporting beams ...

  9. Pergamon Altar - Wikipedia

    en.wikipedia.org/wiki/Pergamon_Altar

    The reconstructed Pergamon Altar in the Pergamon Museum in Berlin. Side view Carl Humann's 1881 plan of the Pergamon acropolis. The Pergamon Altar (Ancient Greek: Βωμός τῆς Περγάμου) was a monumental construction built during the reign of the Ancient Greek King Eumenes II in the first half of the 2nd century BC on one of the terraces of the acropolis of Pergamon in Asia Minor ...