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  1. Golden ratio - Wikipedia

    They can be generated by golden spirals, through successive Fibonacci and Lucas number-sized squares and quarter circles. They feature prominently in the icosahedron as well as in the …

  2. Golden ratio | History, Examples, Definition, Mathematics, & Facts ...

    Dec 10, 2025 · The golden ratio in mathematics is an irrational number often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

  3. Golden Ratio - Math is Fun

    The golden ratio (symbol is the Greek letter phi shown at left) is a special number approximately equal to 1.618.

  4. Golden Ratio – Definition, Examples, Properties, and History

    Aug 9, 2025 · The golden ratio is a special mathematical constant that appears in geometry, art, architecture, and nature. Often denoted by the Greek letter φ (phi), it is approximately equal to …

  5. The Golden Ratio: Phi, 1.618 - Golden Ratio, Phi, 1.618, and Fibonacci ...

    It's a number that goes by many names. This “golden” number, 1.61803399, represented by the Greek letter Phi, is known as the Golden Ratio, Golden Number, Golden Proportion, Golden Mean, Golden …

  6. Golden Ratio | Brilliant Math & Science Wiki

    The golden ratio, also called the golden number, divine proportion, etc., has a very close association with the Fibonacci sequence. It is often represented by the Greek letter phi, \ (\varphi\) or \ (\phi\).

  7. Golden Ratio - from Wolfram MathWorld

    The golden ratio, also known as the divine proportion, golden mean, or golden section, is a number often encountered when taking the ratios of distances in simple geometric figures such as the pentagon, …

  8. Golden Ratio - Definition, Symbol, Formula, & Examples

    Apr 13, 2024 · Golden Ratio, Golden Mean, Golden Section, or Divine Proportion refers to the ratio between two quantities such that the ratio of their sum to the larger of the two quantities is …

  9. The Golden Ratio: A Complete Guide to Nature’s Most Perfect Number

    Aug 7, 2025 · This golden ratio number is an irrational number, meaning its decimal representation continues infinitely without repeating. The exact mathematical formula for calculating the golden ratio …

  10. Golden ratio - Math.net

    The golden ratio is a special ratio with approximate value 1.61803..., an irrational number. The golden ratio is typically denoted with the Greek letter, phi (φ), and has been studied by mathematicians …