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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 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.
In addition, the name was to highlight that Cubism, rather than being an isolated art-form, represented the continuation of a grand tradition; indeed, the golden ratio, or golden section (French: Section d'Or), had fascinated Western intellectuals of diverse interests for at least 2,400 years. [3] [4]
Diagram showing the golden ratio for zettai ryōiki. The ideal zettai ryōiki ratio for the length of the miniskirt, the exposed portion of thigh, and the over-knee part of the socks is 4:1:2.5, with a tolerance of 25%. [3] [4] [5] The ratio has also been referred to as a golden ratio (黄金比, ōgonhi) among fans. [6]
The golden angle is the angle subtended by the smaller (red) arc when two arcs that make up a circle are in the golden ratio. In geometry, the golden angle is the smaller of the two angles created by sectioning the circumference of a circle according to the golden ratio; that is, into two arcs such that the ratio of the length of the smaller arc to the length of the larger arc is the same as ...
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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.
Several studies have found that living in gay neighborhoods predicts higher rates of risky sex and meth use and less time spent on other community activities like volunteering or playing sports. A 2009 study suggested that gay men who were more linked to the gay community were less satisfied with their own romantic relationships.
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