## FibonarchGarrett Dalton, Zach Gotlieb

#### What is the Fibonacci Sequence?

The Fibonacci sequence is a sequence of numbers that has a pattern of 0,1,1,2,3,5,8,13,21, etc. The way you come up with the next number in the sequence is by adding the number you a re currently on and the previous number, like 1+2=3, 2+3=5. This is applicable in a lot of different ways, but architecture is a huge way. A term you may hear with the Fibonacci Sequence is The Golden Ratio or The Golden Triangle/Rectangle. They are arches or shapes that are created using the principles of the Fibonacci Sequence

The Great Pyramid of Giza built around 2560 BC is one of the earliest examples of the use of the golden ratio. The length of each side of the base is 756 feet, and the height is 481 feet. So, we can find that the ratio of the vase to height is 756/481=1.5717.. The Rhind Papyrus of about 1650 BC includes the solution to some problems about pyramids, but it does not mention anything about the golden ratio Phi.

The ratio between each triangle inside the triangle is 1.618 and that is the golden ratio. (Phi) Golden triangles are used in different shapes such as decagons or different pentagons, which are used in architecture.

The golden rectangle is the most desired ratio and most pleasing rectangle to look at. In architecture its used a ton and used in most building plans so that people will look at it and it will be pleasing to look at. Its display Fibonacci sequence because the ratio of the out side rectangle in all of Fibonacci ratio.

These are three examples of architecture. On the left, is a building with an arch that is the same angle as the golden ratio. On the top right is a spiral staircase that uses the arch of the golden ratio or Fibonnacci's sequence. It also applies to human architecture as shown on the bottom right with Donald Trump's ear

Phi Golden number: 1.618

As shown, Fibonacci's sequence is all around us and affect us several ways on our life. One of the biggest ways is in architecture. First used in 2560 BC and still used now. It's truly incredible how the golden ratio has lasted through the test of time.