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

Phi
The Golden Number

1.61803398874989...

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The Colours of Infinity - The Beauty and Power of Fractals
Book and original TV documentary on DVD with soundtrack by Pink Floyd's David Gilmour

 


Have some phun sharing
phi with others.  More...

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 DNA and the golden section

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 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

Construction of a decagon using two pentagons

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!

 

Products & Services
PhiMatrix Software
PhiDental Software
Phi Jewelry
Golden Mean Gauges
Stock Market Analysis
Forex Trading
Phi Related Software
Phun Phi Merchandise
Do It Yourself-FREE!
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Links
Beauty Analysis
Golden Museum
Fibonacci Numbers
Elliott Wave Int'l
Phi in Multimedia
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Learn to apply Fibonacci techniques to stock market analysis at Elliott Wave International

Investors:
Apply Phi and
Fibonacci principles
to the stock market

Elliott Wave International Market Watch


Nautilus spiral jewelry in gold or silver

The Sacred Geometry of
Ka Gold Jewelry

Ka Gold Jewelry - Golden Spirals and more


- Phi - The Golden Number - Ø
Your source to some of the Net's "phinest" information on the
Golden Section / Mean / Proportion / Ratio / Number,
Divine Proportion, Fibonacci Series and Phi ( 1.618 0339 887... )

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