In mathematics, 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. … See more

Irrationality
The golden ratio is an irrational number. Below are two short proofs of irrationality:
Contradiction from an expression in lowest terms See more

Examples of disputed observations of the golden ratio include the following:
• Specific proportions in the bodies of vertebrates (including humans) are often claimed to be in the … See more

• Doczi, György (1981). The Power of Limits: Proportional Harmonies in Nature, Art, and Architecture. Boston: Shambhala.
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According to Mario Livio,
Some of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian … See more

Architecture
The Swiss architect Le Corbusier, famous for his contributions to the modern international style, centered his design philosophy on … See more

• List of works designed with the golden ratio
• Metallic mean
• Plastic ratio
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