• Home
    • A Brief Note on Accuracy
  • The Myth
    • A Brief History of Phi
    • Architectural and Aesthetic Approximations
    • The Human Body
  • The Mathematics
    • Mathematical Definitions of Phi
    • Mathematical Properties of Phi
    • Geometric Constructions Involving Phi
    • The Fibonacci Sequence
  • The Science
    • The Logarithmic Spiral
    • Phyllotaxis: The Fibonacci Sequence in Nature
    • Phi in Chemistry and Physics
  • The Anthropology
    • Phi in Psychology
    • Rationalizing Phi: The Golden Ratio as a Western Phenomenon
  • Works Cited
  • The Author
The Myth of the Golden Ratio

The Mathematics of Phi

"Generally, [the Golden Ratio's] mathematical properties are correctly stated, but much of what is presented about it in art, architecture, literature, and aesthetics is false or seriously misleading." -George Markowsky, Misconceptions about the Golden Ratio

This section provides a somewhat detailed mathematical background of the Golden Ratio, including various ways to define it, some of its mathematical properties, and where it can be found to play a role in mathematics. Topics include:
  • The Mathematical Definitions of Phi
  • The Mathematical Properties of Phi
  • Geometric Constructions Involving Phi
  • The Fibonacci Sequence
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