The Golden Ratio

What does the number 1.61803398875 mean to you? Theoretically, it should mean a lot.

This number is the Golden Ratio.


The Golden ratio is based on the Fibonacci sequence. The Fibonacci sequence is every number being the sum of the two numbers before it added together (3, 5, 8,13, 21, 34, 55, etc.) The Golden ratio occurs when a Fibonacci number is divided by the number that came before it, which gives you an irrational number (1.61803398875...). Being in irrational number it goes on forever.



The number of petals on a flower often follows the Fibonacci sequence. The sequence is 3, 5, 8, 13, 21, 34 or 55. Lilies have three petals, buttercups have five, chicory has 21 and daisy often has 34 or 55 petals. Fibonacci numbers are seen in the branching of trees or the number of leaves on a floral stem. Numbers like 4 are rarely seen.


Faces in humans and animals are structured along the lines of the golden ratio, as well as the eye and ear itself.


When the golden ration is applied as a growth factor, you get a type of logarithmic spiral known as a golden spiral.





Seed heads, snails shells, the cochlea of the inner ear some horns spiral along the logarithmic sequence.


Spiral galaxies, along the sequence, are the most common galaxy shape.


Hurricane swirls match the Fibonacci sequence.


The shape and spiral of ocean waves and whirlpools also demonstrate this spiral. Spiderwebs are another example.


A DNA molecule measures 34 angstroms long by 21 angstroms wide for each full cycle of a double helix.


The Golden ratio can also be found throughout art, architecture and music.


Surely, the Golden ratio can be found throughout nature.






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