gold ratio,

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✍️ Ai批改: The term Gold Ratio is often used interchangeably with the Golden Ratio, which is a mathematical concept that has been used in art, architecture, and design for centuries due to its aesthetically pleasing properties、The Golden Ratio, also known as the Greek letter phi (φ), is approximately equal to 1.618033988749895.

Here are some key points about the Golden Ratio:

1、Definition: 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.

2、Mathematical representation: If a line segment is divided into two parts, a and b, such that (a+b)/a = a/b, then this ratio is the golden ratio.

3、Approximate value: φ ≈ 1.618

4、Historical significance: Used by ancient Greeks in architecture (e.g., Parthenon) and considered aesthetically pleasing.

5、Occurrence in nature: Found in various natural phenomena, from seashells to galaxy spirals.

6、Applications: Used in art, design, photography, and even in financial market analysis.

7、Fibonacci sequence: As the numbers in the Fibonacci sequence get larger, the ratio between consecutive numbers approaches the golden ratio.

8、Symbolic meaning: Often associated with beauty, balance, and harmony in design.

The Golden Ratio continues to be a popular concept in both artistic and scientific fields, though its prevalence and significance are sometimes debated among scholars and practitioners.