The difference between Golden ratio and Golden rectangle
When used as nouns, golden ratio means 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, whereas golden rectangle means a rectangle whose side lengths are in the golden ratio.
check bellow for the other definitions of Golden ratio and Golden rectangle
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Golden ratio as a noun (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.
Examples:
"synonyms: golden number"
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Golden rectangle as a noun:
A rectangle whose side lengths are in the golden ratio.