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Gold is a chemical element with the symbol Au (from the Latin word aurum) and the atomic number 79. In its pure form, it is a bright, slightly orange-yellow, dense, soft, malleable, and ductile metal. Chemically, gold is a transition metal, a group 11 element, and one of the noble metals. It is one of the least reactive chemical elements ...
Exceptionally, the golden ratio is equal to the limit of the ratios of successive terms in the Fibonacci sequence and sequence of Lucas numbers: [42] φ. In other words, if a Fibonacci and Lucas number is divided by its immediate predecessor in the sequence, the quotient approximates . For example, and.
- Derivation
- Golden Angle in Nature
The golden ratio is equal to φ = a/bgiven the conditions above. Let ƒbe the fraction of the circumference subtended by the golden angle, or equivalently, the golden angle divided by the angular measurement of the circle. 1. f = b a + b = 1 1 + φ . {\displaystyle f={\frac {b}{a+b}}={\frac {1}{1+\varphi }}.} But since 1. 1 + φ = φ 2 , {\displaystyle ...
The golden angle plays a significant role in the theory of phyllotaxis; for example, the golden angle is the angle separating the florets on a sunflower. Analysis of the pattern shows that it is highly sensitive to the angle separating the individual primordia, with the Fibonacci angle giving the parastichywith optimal packing density. Mathematical...
Gustav Klimt (14 July 1862 – 6 February 1918) was an Austrian symbolist painter and one of the most prominent members of the Vienna Secession movement. Klimt is noted for his paintings, murals, sketches, and other objets d'art. Klimt's primary subject was the female body,[1] and his works are marked by a frank eroticism.[2] Amongst his ...
Of all the precious metals, gold is the most popular as an investment. Investors generally buy gold as a way of diversifying risk, especially through the use of futures contracts and derivatives. The gold market is subject to speculation and volatility as are other markets. Compared to other precious metals used for investment, gold has been ...
This 156-troy-ounce (4.9 kg) gold nugget, known as the Mojave Nugget, was found by an individual prospector in the Southern California desert using a metal detector. Recreational gold mining and prospecting has become a popular outdoor recreation in a number of countries, including New Zealand (especially in Otago), Australia, South Africa, Wales (at Dolaucothi and in Gwynedd), in Canada and ...
Golden spiral. Golden spirals are self-similar. The shape is infinitely repeated when magnified. In geometry, a golden spiral is a logarithmic spiral whose growth factor is φ, the golden ratio. [1] That is, a golden spiral gets wider (or further from its origin) by a factor of φ for every quarter turn it makes.
