How is the fibonacci series used in everyday life?

Question

The Fibonacci series is a mathematical sequence developed/created in 1202. By Leonardo fIbonacci.

Answer 1

The Fibonacci Sequence is a pattern of numbers starting with 0 and 1 and adding each number in sequence to the next...0+1=1, 1+1=2 so the first few numbers are0,1,1,2,3,5,8...and so on and so on infinitely.

One of the most common experiments dealing with the Fibonacci sequence is his experiment with rabbits. Fibonacci put one male and one female rabbit in a field. Fibonacci supposed that the rabbits lived infinitely and every month a new pair of one male and one female was produced. Fibonacci asked how many would be formed in a year. Following the Fibonacci Sequence perfectly the rabbits reproduction was determined...144 rabbits. Though unrealistic, the rabbit sequence allows people to attach a highly evolved series of complex numbers to an everyday, logical, comprehendible thought.

Fibonacci can be found in nature not only in the famous rabbit experiment, but also in beautiful flowers. On the head of a sunflower and the seeds are packed in a certain way so that they follow the pattern of the Fibonacci Sequence. This spiral prevents the seed of the sunflower from crowding themselves out, thus helping them with survival. The petals of flowers and other plants may also be related to the Fibonacci Sequence in the way that they create new petals.

Fibonacci Sequence may also be found in nature in the animal kingdom. In such shelled creatures ,such as the nautilus, the spiral shape may be located. This spiral shape is made by placing the golden rectangles in the pattern of the Fibonacci Sequence to create a spiral. Supposing that as each number gets larger, the golden rectangle gets larger also.

Starting in the center with one and continuing to build on top of each number with the successive number in the sequence, a spiral is created. Following the dotted line creates the nautilus spiral most people are accustomed to.

Answer 2

Rabbits, Cows and Bees Family Trees
Fibonacci's Rabbits..
Dudeney's Cows
Honeybees and Family Trees
Fibonacci Numbers and the Golden Number
Fibonacci Rectangles and Shell Spirals
Fibonacci numbers, the Golden Section and plants
Petals on flowers
Seed heads
Pine cones
Leaf arrangements
Leaves per turn
Leaf arrangements of some common plants
Vegetables and Fruit
Fibonacci Fingers?
A quote from Coxeter on Phyllotaxis

Answer 3

Take any number in the series and divide it by the previous number. You get a ratio, known as the "golden mean". This has long been understood to be the most attractive ratio of width to height in a rectangle.

Therefore, the fibonacci series has applications in architecture and design.

Answer 4

The TV Show called Knitty Gritty had a segment recently on using fibonacci in knitting. It's on the DIY Network and they have more information on the website.

Answer 5

On a sun flower