Fibonacci Sequence In Real Life Essay

The Fibonacci sequence and its application to real world problems

1. Introduction

Fibonacci sequences are set of numbers based on the rule that each number is equal to the sum of the preceding two numbers; it can be also evaluated by the general formula where F(n) represents the n-th Fibonacci number (n is called an index), the sum of values in pascal`s triangle diagonal also demonstrates Fibonacci sequences. The presentation and report are designed to discover the application of Fibonacci sequences in daily life. The famous Fibonacci sequence has captivated mathematicians, artists, designers, and scientists for centuries therefore it is suggested as an important fundamental characteristic in real life.

2. Fibonacci in real life

Fibonacci sequences can be found in

This is a spiral (the Fibonacci Spiral). A similar curve to this occurs in nature as the shape of a snail shell or some sea shells. Some examples are Spiral Galaxies; Hurricanes; Cochlea of the inner ear; Horns of certain goats; Spider's webs. Figure 5. Shells. Source: “io9"

Summary

The report covered the main applications of Fibonacci sequences in life. Not only sum of consequent values may define Fibonacci sequences, there are some more ways such general formula and pascal`s triangle. Fibonacci sequneces can be found almost everywhere. It may be found in nature, financial market and DNA. Furthermore, Fibonacci can be drawn in rectangle or shell spiral.

Evaluation

During my investigations, I was intended to find out different ways of finding Fibonacci numbers. I realized that Fibonacci numbers are important in different fields. I considered some aspects such as nature, finance and the Fibonacci rectangle. And, I was surprised how often Fibonacci numbers are used in arrangement of the leaves and petals and totally unexpected that breeding of rabbits connects with Fibonacci numbers