The first part of my research brought my attention to the fibonacci sequence which is all about creating a ‘golden ratio’ I managed to research a lot of companies that all use this sequence when creating their logo. The Fibonacci sequence is the following sequence of numbers (http://en.wikipedia.org/wiki/Fibonacci_number);
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…
They are based upon the fact that “each subsequent number is the sum of the previous two”. The sequence created by “Gustav Theodor Fechner” (http://www.banskt.com/blog/golden-ratio-in-logo-designs/). A man by the name of Leonardo Fibonacci then went on to develop this further by introducing the idea that if you divided two sequential numbers you would arrive at the number pie. Using the Fibonacci sequence to create this image of the perfect rectangle. There are many examples of the fibonacci spiral used in history, nature, our universe and general physics. It is seen as the “universal constant of design”.
I think it is an extremely important part of design that i happen to have stumbled across, as it appears in so many aspects of life without us realising, and I am going prove this.
Universally (http://mathforum.org/mathimages/imgUpload/Galaxy.jpg)
Earth – Hurricane Sandy (https://akbrodie.files.wordpress.com/2014/09/b36ab-fibonaccispiralhurricanesandy.jpg) 
Egypt Pyramids (http://img229.imageshack.us/img229/1329/giza9999.jpg)
Spiral Staircase (https://akbrodie.files.wordpress.com/2014/09/a9596-apple-stair-fib-curve-lr.gif) 
Faces (http://io9.com/5985588/15-uncanny-examples-of-the-golden-ratio-in-nature)
The Human Body (http://1111now.com/wordpress/wp-content/uploads/2013/10/fibonacci-sequence-in-the-hand.jpg) 
A Leaf (https://akbrodie.files.wordpress.com/2014/09/8de58-4707140963_16e4f1d513_z.jpg) 
This video very nicely puts into perspective how incredible the sequence really is (https://www.youtube.com/watch?v=kkGeOWYOFoA#t=107). Not only is this all relevant to nature, and certain physics but is also common across many company logos. I will continue my research into logos using this sequence.
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