As stated before, the Golden Ratio can be witnessed in many different instances. In mathematics, it is connected to the Fibonacci Sequence. The Fibonacci Sequence, as we learned in class, begins with 1 as the first two numbers of the sequence. We can find the third number of the sequence by adding the two previous numbers, 1+1=2. The following numbers of the sequence can be found by continuing this pattern of adding the two previous numbers. Therefore, the Fibonacci Sequence looks like this 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. If you divide each number by the one right before it, like 1/1, 2/1, 3/2 and so on, we get a new sequence of 1, 2, 1.5, 1.667, 1.6, 1.625, 1.615, 1.619, 1.6176, 1.6181, 1.6179, etc (Carlson). Eventually, the Golden Ratio can be observed in this sequence by dividing the 39th number by the 38th number in the sequence, 63,245,986/39,088,169. This connection, however was not intentional when Fibonacci invented his sequence and, in fact, was unknown to him, but is now a very fascinating find.

In architecture, the Golden Ratio was used by Greek sculptor Phidias in the design of the Parthenon, who supervised its building. In art and architecture, the Golden Ratio is said to be most pleasing to the eye. For that reason, it was used in many aspects in the construction of the building. The Golden Ratio is used to form the golden rectangle, with the height being 1 and the width being 1.618. A golden rectangle can be produced around the Parthenon, with its triangular