Golden Ratio

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The Colors of Phi

For starters, Phi is the basis for the Golden Ratio (also known as the Golden Section or Golden Mean). You’re probably familiar with the rounded-off representation of Phi (Φ) as 1.618… Phi is actually calculated as (1 + √5)/2 while its counterpart phi (φ) has the value (√5 – 1)/2.

Here is the decimal value of phi (read as ordinary text, beginning with 0.618033988749…) expanded out to 10,080 places and grouped in chunks of six digits, each accompanied by its hexidecimal color equivalent. Don’t bother looking for repeating patterns anywhere in either the digits or their corresponding colors. As an irrational number, decimal expansions of Phi (or phi) neither terminate nor become periodic (repeating a fixed cycle of digits).