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golden ratio

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(geometry) The irrational number (approximately 1·618), usually denoted by the Greek letter φ (phi), which is equal the sum of its own reciprocal and 1, or, equivalently, is such that the ratio of 1 to the number is equal to the ratio of its reciprocal to 1.

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en
one plus the square root of five, all over two
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An early reference to it is in a 1990 book on the golden ratio by Boles and Newman.
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Examples of infinite continued fractions are the golden ratio φ = and the square root of two, √2 = .
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They noticed a particular proportion called the golden ratio (roughly 1.618) and its recurrence in many things.
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Its subject was mathematical proportions (the title refers to the golden ratio) and their applications to geometry, visual art through perspective, and architecture.
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The 12 edges of a regular octahedron can be subdivided in the golden ratio so that the resulting vertices define a regular icosahedron.
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For example, in the golden ratio base, the two standard representations are 1.000... and 0.101010..., and there are infinitely many more representations that include adjacent 1s.
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For if the algorithm requires N steps, then b is greater than or equal to FN+1 which in turn is greater than or equal to φN−1, where φ is the golden ratio.
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The first part, Compendio divina proportione (Compendium on the Divine Proportion), studies the golden ratio from a mathematical perspective (following the relevant work of Euclid) and explores its applications to various arts, in seventy-one chapters.
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And if you divide the larger number by the smaller number, then these ratios get closer and closer to about 1.618, known to many people as the Golden Ratio, a number which has fascinated mathematicians, scientists and artists for centuries.
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The golden ratio seems to be reflected in many Egyptian constructions, including the pyramids, but its use may have been an unintended consequence of the ancient Egyptian practice of combining the use of knotted ropes with an intuitive sense of proportion and harmony.
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Unlike the names of the golden ratio and silver ratio, the word plastic was not intended by van der Laan to refer to a specific substance, but rather in its adjectival sense, meaning something that can be given a three-dimensional shape.
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Select your constrained aspect ratio for cropping. Aspect Ratio Crop tool uses a relative ratio. That means it is the same if you use centimeters or inches and it does n't specify the physical size. You can see below a correspondence list of traditional photographic paper sizes and aspect ratio crop:#: #x#cm, #x#cm, #x#cm, #x# ", #x# ", #x# ", #x# ", #x#:#: #x#cm, #x#cm, #x#cm, #x#cm, #x# ", #x# ", #x# ", #x# ", #x#:#: #x#cm, #x#cm, #x# ", #x#:#: #x#cm, #x#cm, #x#:#: #x#cm, #x#cm, #x#"The Golden Ratio is #.#. A composition following this rule is considered visually harmonious but can be unadapted to print on standard photographic paper
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Built of arkose, a sort of sandstone, the building has an almost perfect harmony supposedly resulting from the application of the ratio of the Golden Number.
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The author, musicologist and pianist Roy Howat has observed, in his book Debussy in Proportion, that the formal boundaries of La mer correspond exactly to the mathematical ratios called The Golden Section.
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14 sinne gevind in 8 ms. Hulle kom uit baie bronne en word nie nagegaan nie.