How to Draw the Golden Fibonacci Series

Listed below are 3 different ways to graphically represent the Fibonacci Series. 
1) The Golden Section which is dividing a line in such a way that the first half is in proportion to the second half such that if divided will give you Phi. 
2) The Golden Rectangle.  This is a rectangle with proportions of Phi.  This rectangle is used throughout architectural and art history to represent pure form.  Also shown is how to derive the Fibonacci (logarithmic spiral) curve from the Golden Rectangle. 
3) The Golden Triangle.  This triangle is interesting as if divided in such a way will allow for the construction of the Fibonacci curve.

THE GOLDEN SECTION

THE GOLDEN RECTANGLE

THE GOLDEN TRIANGLE

Fibonacci Series Background...

First off the Golden Fibonacci Series (also called the Golden Ratio, Golden Section, Golden Mean and Phi) is named after Leonardo Fibonacci (pronounced fee bahn aut chee) an Italian mathematician who discovered this series.  Much has been written about him and his discoveries at the links listed below.  The Fibonacci Series (Phi) can be written as:

f = (1+√5)/2

This irrational number Phi, is equal to the square root of 5 plus 1, divided by 2.   (Sqrt (5)+1)/2 = 1.618033988749895 This irrational number can't be written as a regular fraction. You could however, get a close estimate. One way, is by dividing Fibonacci numbers. Fibonacci numbers basically follow the pattern 1,1,2,3,5,8,13,21.... each number is the sum of the two before it. 2+3=5,5+3=8,8+5=13 and so on (see a list of the first 100 Fibonacci Numbers below).  If you divide two consecutive Fibonacci numbers, you will get an close approximation of Phi.  The larger the numbers divided, the closer the resultant is to Phi.