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Golden Ratio: Difference between revisions
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In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. | In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The figure on the right illustrates the geometric relationship. | ||
Phi is also used as a symbol for the [[Golden Ratio]] and on other occasions in math and science. This use is separately encoded as the Unicode glyph ϕ. | [[Phi]] is also used as a symbol for the [[Golden Ratio]] and on other occasions in math and science. This use is separately encoded as the Unicode glyph ϕ. | ||
The | The [[Golden Ratio]] 1.618033988749894848204586834... in mathematics, art, and architecture. | ||
The | The [[Golden Ratio]] also is called the golden mean or golden section. Other names include extreme and mean ratio, medial section, divine proportion, divine section , golden proportion, golden cut, and golden number.<ref>[http://en.wikipedia.org/wiki/Golden_ratio]</ref> | ||
The term " | The term "[[Phi]]" was coined by American mathematician Mark Barr in the 1900s. Phi has continued to appear in mathematics and physics, including the 1970s Penrose Tiles, which allowed surfaces to be tiled in five-fold symmetry. In the 1980s, phi appeared in quasi crystals, a then-newly discovered form of matter. | ||
==Golden Ratio in Renaissance Art== | ==Golden Ratio in Renaissance Art== | ||