# Fibonacci

## Fibonacci Sequence

Fibonacci Sequence is the sequence in which each term is the sum of the two previous terms with xn = xn-1 + xn-2 with f(0)= 0 and f(1)= 1.

## Fibonacci Spiral

The Fibonacci spiral is a spiral that illustrates the Fibonacci sequence. It is a recurring shape in nature eg the shape of a nautilus, pine cone. pineapple.

## How to draw a fibonacci spiral

What you will need:

• Graph paper
• A writing utensil
• A basic understanding of graphing and mathematical concepts
Steps:

1. Look at the graph paper. Write a 1 in a square near the center of the graph paper

2. Go to the square to the right of the 1. Outline that little square to represent the next number in the pattern, another 1!

3. Use the line above the two 1 squares to outline a square that is 2 little squares long and 2 little squares high. This represents the next number in the sequence – 2.

4. Now move to the right of the 1 and 2 squares. Use the right side of the 2 square and the right side of the second 1 square to draw a square that is 3 little squares high and 3 little squares long. 3 is the next number in Fibonacci’s pattern!

5. Use the bottom of both 1 squares and the bottom of the 3 square to make the next number in the pattern – a big square that is 5 little squares long and five little squares high.

6. Move to the left of the 2 square, the 1 square, and the 5 square. Use their left edges to make the 8 square.

7. Finally use the top of the 8 square along with the top of the 2 and 3 square to make a 13 square.

## Leonardo "Fibonacci" Bonacci

• Born c.1170 Leonardo Bonacci in Pisa, Italy
• Died c.1240
• Wrote Liber abaci, Introducing Arabic numerals to Europe
• Created the Fibonacci sequence