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What is the Golden Ratio?
The Golden Ratio is a unique number, approximately 1.618033989. It is also known as the Divine Ratio, the Golden Mean, the Golden Number, and the Golden Section. Its unique mathematical properties have resulted in a very long and influential history.
What is the Fibonacci Sequence of Numbers?
The Fibonacci numbers are a unique sequence of integers, starting with 1, where each element is the sum of the two previous numbers. For example: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.
Relationship Between the Fibonacci Sequence and the Golden Ratio
The Fibonacci Sequence is an infinite sequence, which means it goes on for ever, and as it develops, the ratio of the consecutive terms converges (becomes closer) to the Golden Ratio, ~1.618. For example, to find the ratio of any two successive numbers, take the latter number and divide by the former. So, we will have: 1/1=1, 2/1=2, 3/2=1.5, 5/3=1.66, 8/5=1.6, 13/8=1.625, 21/13=1.615, 34/21=1.619
• Bring the forks slowly to your ears, about three to six inches from your ear canal, and listen to the sounds.
Our thanks to John Beaulieu of BioSonics for sharing this information and techniques.