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

Phi
The Golden Number

1.61803398874989...

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DNA


The DNA spiral is a Golden Section

The DNA molecule, the program for all life, is based on the golden section.  It measures 34 angstroms long by 21 angstroms wide for each full cycle of its double helix spiral.

Construction of the golden section, based on phi, the golden ratio DNA and phi, the golden proportion, in the dimensions of its spirals

34 and 21, of course, are numbers in the Fibonacci series and their ratio, 1.6190476 closely approximates phi, 1.6180339.

 

B-DNA has spirals in phi proportions

DNA in the cell appears as a double-stranded helix referred to as B-DNA.

This form of DNA has a two groove in its spirals, with a ratio of phi in the proportion of the major groove to the minor groove, or roughly 21 angstroms to 13 angstroms.

B-DNA major and minor grooves in phi or golden ratio proportion

Insight on B-DNA proportions contributed by Melih Yazici.

The DNA cross-section is based on Phi

A cross-sectional view from the top of the DNA double helix forms a decagon:

Top view of DNA molecule

A decagon is in essence two pentagons, with one rotated by 36 degrees from the other, so each spiral of the double helix must trace out the shape of a pentagon.

Pentagons are based on phi, the golden ratio

Construction of a decagon using two pentagons based on phi, the golden ratio

The ratio of the diagonal of a pentagon to its side is Phi to 1.  So, no matter which way you look at it, even in its smallest element, DNA, and life, is constructed using phi and the golden section!

 

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Investors:
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Fibonacci principles
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Nautilus spiral jewelry in gold or silver based on phi, the golden ratio

Golden spiral Pendant
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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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