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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 .
The golden ratio has been used to analyze the proportions of natural objects and artificial systems such as financial markets, in some cases based on dubious fits to data. [8] The golden ratio appears in some patterns in nature, including the spiral arrangement of leaves and other parts of vegetation.
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).
Its subject was mathematical proportions (the title refers to the golden ratio) and their applications to geometry, to visual art through perspective, and to architecture. The clarity of the written material and Leonardo's excellent diagrams helped the book to achieve an impact beyond mathematical circles, popularizing contemporary geometric ...
The Fibonacci numbers, often presented in conjunction with the golden ratio, are a popular theme in culture. They have been mentioned in novels, films, television shows, and songs. The numbers have also been used in the creation of music, visual art, and architecture.
The art historian Ludwig Heinrich Heydenreich, writing for Encyclopædia Britannica, states, "Leonardo envisaged the great picture chart of the human body he had produced through his anatomical drawings and Vitruvian Man as a cosmografia del minor mondo ('cosmography of the microcosm'). He believed the workings of the human body to be an ...
Category:Researchers of the golden ratio Phidias [ 2 ] , Plato [ 2 ] , Euclid [ 2 ] , Fibonacci [ 2 ] , Luca Pacioli [ 2 ] , Johannes Kepler [ 2 ] , Charles Bonnet [ 2 ] , Martin Ohm (is believed to be the first to use the term goldener Schnitt (golden section) to describe this ratio, in 1835.
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