Golden Ratio (Φ)

The Golden Ratio, or Divine Proportion, is the key proportion behind these processes that beget life. This is a universal principle that can be found on all levels of existence. The golden ratio describes the special relationship found in nature between two parts of a whole. It can be described in terms of number, length, area, volume and, to a certain degree, beauty and consciousness.

The golden ratio is the mathematical proportion 1:1.618034…ad infinitum. Often called by its Greek name phi, it is also known as the Divine Proportion, the Golden Ratio, the Golden Section and the Golden Mean. It is indelibly inscribed in the heart of nature and man. Trace the thread of this “golden mean” from daisy to pyramid, from pine cone to Parthenon. Or from seashell to spiral nebulae as described above. The cosmos weaves its garments with perfect integrity, laced by the golden ratio. It is so omnipresent that many philosophers, artists, mathematicians, and scientists have considered it an essential component of beauty, perhaps integral to life itself. Plato considered it the key to the physics of cosmos. The Egyptians thought it more than a number and believed it symbolized the creative process and the fire of life.

The numerical value of the golden ratio is unending, and usually rounded off to three decimal places at 1.618. This value is applied to related objects of different sizes. The simplest example is two straight lines of different lengths. If the length of the shorter line is given the value of 1 unit of measurement, the other line is then 1.618 times longer than that.

Clear examples of Sacred Geometry (and Golden Mean geometry) in Nature and matter:

  • All types of crystals, natural and cultured.
  • The hexagonal geometry of snowflakes.
  • Creatures exhibiting logarithmic spiral patterns: e.g. snails and various shell fish.
  • Birds and flying insects, exhibiting clear Golden Mean proportions in bodies & wings.
  • The way in which lightning forms branches.
  • The way in which rivers branch.
  • The geometric molecular and atomic patterns that all solid metals exhibit.
  • The way in which a tree spans out so that all its branches receive sunlight.