Phi, the Greek symbol for the number 1.618..., the golden ratio

Phi
The Golden Number

1.61803398874989...

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Phi in Circles
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Orthogons


The Golden Section is an Orthogon called the Auron.

The golden section can be constructed from a square with a compass and ruler:

Geometric construction of the golden rectangle or section based on phi, the golden ratio

This is the most commonly known of twelve orthogons which can be constructed using this technique.  Among orthogons, the golden section is known as the auron, coming from the root "aur," meaning gold.

Orthogons provide a system of design that for centuries has allowed artists and artisans to create consistent, harmonious themes without the need for complicated calculations or measuring devices.  Examples of orthogons include:

Orthogons - the auron, based on phi, the golden proportion in its dimensions

Orthogons - the diagon

Orthogons - the quadrigon

Orthogons - the hemidiagon

Auron
(Golden Section)
Diagon Quadriagon Hemidiagon
1/2 + √5/2
=1.618 ... = Phi
√2
=1.414...
1/2 + √2/2
=1.207...
√5/2
=1.118...
Height to width ratio

Insights on orthogons provided by Valrie Jensen.  See additional information on the application of orthogons to the principles of design at her site,  Timeless by Design.
 

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- Phi - The Golden Number - Ø
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Golden Ratio / Golden Mean / Golden Section,
Divine Proportion, Fibonacci Series and Phi ( 1.618 0339 887... )

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