. What is a Golden Rectangle? Why is it important in architecture and art? Look around you right now. Do you see anything that l
ooks like a Golden Rectangle in your classroom?
1 answer:
Answer:
see below
Step-by-step explanation:
A golden rectangle is one that has an aspect ratio of the "golden ratio". That ratio is an irrational number:
Φ = (1+√5)/2 ≈ 1.618034
This number is the positive solution to the equation ...
x = 1/(x -1)
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Books have been written about the properties of the Golden Ratio and all the ways it shows up in Nature and in mathematics. For example, the ratios of sequential numbers in the Fibonacci sequence approach the Golden Ratio in the limit.
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The proportion is often called the "divine proportion" because of the ways it shows up in nature. Some say a rectangle with this proportion is most pleasing to the eye. Hence, it may show up in architecture and art for that reason. A 5×8 photo is approximately this shape.
(The 1.6:1 aspect ratio is one that used for some video screens. It isn't quite as wide as the 16:9 aspect ratio seen more commonly. It is somewhat longer and narrower than the aspect ratio of common paper sizes.)
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The attached graph shows rectangles with the proportion of Φ.
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