perfection in balance and growth

  • divine proportion
  • golden ratio
  • extreme and mean ratio

The Golden Ratio is a proportion of two unequal values a and b where

\[ \large \frac{a}{b} = \frac{b}{a+b}\]

in other words - two unequal values a and b where \(\frac{a}{b} = \frac{b}{a+b}\)

The Golden Ratio emerges at the intersection of proportional systems

exists in the interference pattern of elements

and in nature

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Logical Systems

arithmetic, geometry, algebra

  • Phi emerges at the outset when exploring the simplest of logical relationships

Natural Systems

Patterns in the Natural World

  • Phi emerges as the ordering principle in so many aspects of living things


The story of our conscious awareness of Phi

Since antiquity, Phi has captivated great thinkers