Golden Rectangles A golden rectangle is a rectangle with the length and width being two consecutive Fibonacci numbers. For example, a rectangle with 34 as its length and 21 as its width would be a golden rectangle. The golden proportion is 1:1.618 or 0.618:1. Many of the ancient Greek buildings, like the Parthenon, had golden rectangles. The National Gallery in London, England also had golden rectangles. There are many other famous buildings that have golden rectangles in them. Fibonacci in Architecture Fibonacci Numbers The term Fibonacci numbers refers to a sequence of numbers studied by a man named Leonardo of Pisa. Fibonacci was the nickname given to him. He did not create the sequence, but he introduced it to Europe.

The sequence is 0,1,1,2,3,5,8,13,21,34,etc.

This sequence follows a simple rule. In order To get the value of the next number you need to add the two preceding Fibonacci numbers. For example, the first to numbers are 0 and 1. The 0 plus the 1 equals 1 which is the next number in the sequence. The Golden Ratio Introduction In this presentation I will give you some background information on the Fibonacci numbers and what they have to do with architecture. The golden ratio is also known as phi and the golden mean.

Throughout history the golden ratio has been considered pleasing to the eye and it can be seen in many 20th century buildings.

It was also used by many civilizations including the ancient Greeks and Egyptians.

The golden ratio is close to 1.618.

You can get this number when you divide a Fibonacci number by the number before it.

For example, if you divide 8 by 5 from the Fibonacci sequence you will get 1.6. Table of Contents Slide I. Introduction

Slide II. Fibonacci Numbers

Slide III. The Golden Ratio

Slide IV. Golden Rectangles What I Did for My Project I put pictures of famous buildings built with the golden ratio on a display board and put their names on top. I also built a structure with Fibonacci measurements out of legos. Summary The ancient Greek, Romans, Egyptians, and other civilizations knew about the golden ratio. The Parthenon has the golden ratio in many different places. The ratio of the width to the height and the ratio of the height of the building and the height of the roof are both golden ratios. The Egyptians used the golden ratio to build the Pyramids of Giza. The ratio of the side length to half the length of the base is the golden ratio. Bibliography Obara, Samuel. "Golden Ratio in Art and Architecture." Golden Ratio in Art and Architecture. N.p., n.d. Web. 31 Mar. 2013. "Fibonacci Numbers and The Golden Section in Art, Architecture and Music." Fibonacci Numbers and The Golden Section in Art, Architecture and Music. N.p., n.d. Web. 31 Mar. 2013.

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# Fibonacci in Architecture

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