golden ratio


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golden ratio

A division in a line such that the proportion of the whole to the larger area is equal to the proportion of the larger area to the smaller one. The mathematical golden ratio has been employed in all manner of things, not the least in art, architecture, and even philosophy.
See also: golden
References in periodicals archive ?
As entertainingly explained by Vi Hart in a short YouTube series, (6) plants have evolved to grow in this fashion to maximise their cumulative exposure to sunlight - in part, by using the 'most irrational angle' defined in terms of the golden ratio. An investigation of this would be an excellent way to underline just how emphatically mathematics is the language of nature.
Students were asked to seek evidence of the Golden Ratio in architecture, art, music and nature.
Caption: Giorgio Griffa, Canone aureo 203 (Golden Ratio 203), 2016, acrylic on canvas, 54 3/4 x 37 3/8".
Mathematically, the golden ratio designated by the Greek letter phi (O) is defined by relative lengths [1, 2].
The Golden Ratio is an irrational number discovered in ancient times.
A segment is divided according to golden ratio if the following equation is correct: (a+b)/a=a/b.
This proportion--the Golden Ratio of Corporate Deal-Making--is supported by auction theory principles as well as Delaware Court of Chancery rhetoric.
Windows pull to the east, each morning a golden ratio of the day before.
It called for a "golden ratio" on health spending tied to Britain's gross domestic product (GDP), adding that the UK health budget is expected to be at 7 per cent of GDP by 2020 compared with 11 per cent in Germany and France and 18 per cent in the US.
Bowe advises keeping the golden ratio of shoulder-to-waist size in mind when consulting male patients about ways to improve their physique.
They demonstrate the geometrical spiralling pattern of the Golden Ratio (further information on Fractals and the Golden Ratio can be sourced from the websites listed in the references below).
Reflecting its assumed role in beauty, the solution [phi] = [1/2](1+[square roof of 5]), roughly 1.618, is called the Golden Ratio. Euclid constructed this ratio in a regular pentagon, where the longer line is an internal diagonal from point A to point C, and the shorter line is one side from point B to point C.
Gustin has been influenced by a wide variety of objects and experiences; Middle Eastern calligraphy, Asian ceramics, Mimbres pottery, Moche stirrup pots, Georgio Morandi's paintings, the Golden Ratio, surfing, trips to Egypt and the Azores.