Examples of Golden Number

The golden number is an irrational algebraic number represented by the Greek letter φ (fi). This number is used to represent the proportion between two segments of a line. More than arithmetic, the golden number, as it is also known, is used in geometry.

It is given the title of ‘the most beautiful number’ and is given mystical attributions.

The golden number has many properties , some of them being:

  • Silver angle
  • Arithmetic properties
  • Representation with continued fractions
  • Trigonometric representation
  • Representation with nested roots
  • Relationship with the Fibonacci series

It can also be used in:

  • Euclid’s golden rectangle
  • On the pentagram
  • Ptolemy’s theorem and the pentagon
  • Starry pentagon
  • Trigonometry
  • Platonic solids

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