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Symmetry & Form


 What does Math and Science have to do with Beauty and Rabbits?


How Healthy Are You? There is a long history of math, science, art and beauty and it begins with numbers and proportions in nature.   Studies have shown that people have a natural attraction towards proportions that are in ratio.  When given the choice, people choose symmetrical over non-symmetrical forms and harmonious over dissonant sounds.

As early as at least Ancient Greece, proportion and ratio have been studied.  Euclid of Alexandria wrote in 300 BC,

"A straight line is said to have been cut in extreme and mean ratio when, as the whole line is to the greater segment, so is the greater to the lesser". 

 The Parthenon and the Golden Mean


This is called the "Golden Ratio" or "Golden Mean".  The number associated with it  is an irrational number that is equal to (sqrt(5)+1)/2 = 1.618033989, and is called phi. phi is the Golden Ratio/Mean.  phi supposedly appears in proportions in nature including in plants, DNA, and the human body.  The human face contains examples of the golden ratio as does a seashell the foundation of whose spiral is formed by Fibonacci sequence and Golden Mean.


The Fibonacci Sequence is a series of numbers from which one can derive the Golden Mean.  The series is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55... Each number is the sum of the two preceding numbers. If you divide each number in the series by the one which precedes it produces a ratio which stabilizes around 1.618034 - The Golden Mean!

This sequence was discovered by Fibonacci, a medieval mathematician who stumbled on it while he was calculating a population of rabbits!  

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