The Fibonacci Sequence

The Fibonacci Sequence is a specific pattern of numbers, the pattern is infinite and goes on forever.

The pattern as follows is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

There's three simple steps when it comes to understanding how this pattern functions.
1. The pattern initially will start with a 0 followed by a 1.
2. After that you have to add up the past two values, for example the reason why the third value is 1 is because the first two values are 0 and 1 so 0+1=1. The fourth value is 2 because the two values preceding it are both 1's, so 1+1=2.
3. Continue each value by adding the two values before it together and so on.

To continue with the sequence above you need to add 144 and 89 together, 144+89=233.

This sequence is a very important factor in geometry as it is used to create the geometry concept of the "golden rectangle" also known as the "golden ratio".

To add the Fibonacci Sequence to this, we need to conciser the width of each square inside the rectangle, let's use inches as an example. The large square on the left has a width of 34 inches, the second largest on the bottom right has a width of 21 inches, the third largest on the top right hand corner has a width of 13 inches, the fourth largest to the left of the third largest has a width of 8 inches.

Does this sound familiar? Because it should, these are the exact numbers used in the sequence and as you can see the rectangle created by these values is in a perfect spiral.

The Fibonacci Sequence is not only important in math, but also holds a heavy importance when it comes to art. In several famous paintings, such as the Mona Lisa, artists use the "golden rectangle" to achieve perfect symmetry in their works. Even if you're not an art buff, the importance of the Fibonacci Sequence still exists. The number sequence is important in scientific research, especially research involving physics, as many theories have been discovered using this simple pattern of numbers as well as the "golden rectangle".