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Above I have defined the golden rectangle, and then said what the golden ratio is, in terms of the rectangle. Alternatively, I could have defined the golden ratio, using the above equation. And then a golden rectangle becomes any rectangle that exhibits this ratio.
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www.jimloy.com/geometry/golden.htm
www.jimloy.com/geometry/golden.htm
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Definition and properties of the Golden Rectangle ... The Golden rectangle has been known since antiquity as one having a pleasing shape, and is frequently found in art and architecture as a rectangular shape that seems 'right' to the eye. It is mentioned in Euclid's Elements and was known to artists and philosophers such...
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www.mathopenref.com/rectanglegolden.html
www.mathopenref.com/rectanglegolden.html
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; As the numbers get larger, the ratio between adjacent numbers approaches the value called phi (f) which is equal to 1.618033989... This is also referred to as the Golden Ratio.
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www.johnkyrk.com/golden.html
www.johnkyrk.com/golden.html
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The Golden Rectangle is defined as a rectangle that can be partioned into a square and a smaller rectangle which has the same aspect ratio of the original rectangle. In Figure 1, we see such a rectangle. In this example, the length of the s...
http://fotogenetic.dearingfilm.com/golden_rectangle.htm...
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Of course, the golden rectangle is descended from the golden mean, aka the golden ratio, aka the golden section, aka the golden proportion. This has to do with dividing a line into two sections which each have a mathematical relationship to one another and to the whole undivided line as well.
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www.sonic.net/finearts/rectangl.htm
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Phidias widely used the golden ratio in his works of sculpture. The exterior dimensions of the Parthenon in Athens, built in about 440BC, form a perfect golden rectangle. How many examples of golden rectangles can you find in the below floorplan of the Parthenon?
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www.geom.uiuc.edu/~demo5337/s97b/art.htm
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The golden rectangle R, constructed by the Greeks, has the property that when a square is removed a smaller rectangle of the same shape remains. Thus a smaller square can be removed, and so on, with a spiral pattern resulting.
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www.mlahanas.de/Greeks/GoldenSection.htm
www.mlahanas.de/Greeks/GoldenSection.htm
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The Golden Ratio/Golden Mean, the Golden Rectangle, and the relation between the Fibonacci Sequence and the Golden Ratio. ... The Golden Rectangle; A Golden Rectangle is a rectangle in which the ratio of the length to the width is the Golden Ratio. In other words, if one side of a Golden Rectangle is 2 ft. long,
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mathforum.org/dr.math/faq/faq.golden.ratio.html
mathforum.org/dr.math/faq/faq.golden.ratio.html
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