The Fibonacci Series

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Site Index | Conventions

Yellow flower with 8 petals, a Fibonacci Number.

The Fibonacci Series is a sequence of numbers first created by Leonardo Fibonacci (fi-bo-na-chee) in 1202. It is a deceptively simple series, but its ramifications and applications are nearly limitless. It has fascinated and perplexed mathematicians for over 700 years, and nearly everyone who has worked with it has added a new piece to the Fibonacci puzzle, a new tidbit of information about the series and how it works. Fibonacci mathematics is a constantly expanding branch of number theory, with more and more people being drawn into the complex subtleties of Fibonacci's legacy.

Introduction | Conventions

Learn more about the Fibonacci Series itself...

See how the Fibonacci Series relates to the famous Golden Ratio...

The Golden Rectangle | The Golden Ratio | The Golden Spiral

The many applications of the Fibonacci Series...

Learn about the lives of Fibonacci and other important mathematicians...

Leonardo Fibonacci | Édouard Lucas | Jacques Binet | Jordanus Nemorarius

The Fibonacci Forum is a bulletin board intended for the discussion of all things Fibonacci; Fibonacci number-theory, Leonardo Fibonacci, appearances of the Fibonacci Series in day-to-day life, etc.

This section includes a list of material for further reading and a bibliography.

Sources For More Information | Sources Used / Referenced On This Page

Learn about the site itself. You can give feedback, learn about the creation of the site, and meet your makers.

Visitor Feedback | The Making of "The Fibonacci Series" | Meet Your Maker(s) | Thanks

A quiz is available for each of the four main sections of the site:

The Series | Golden Ratio | Applications | Biographies | Create Your Own Quiz

An index of all of the Flash demonstrations available on this site.

Introduction | Site Index

As you explore this page, you will come across some icons and terminology which may not be familiar to you. Below are explanations for these icons:

If you see a button that reads "in action" or "A," you can click on it to see an interactive or dynamic presentation of the topic.

If you see a button that reads "proof" or "P," you can click on it to see a mathematical proof of the topic or theorem in question.

Much of the content of this site is available in streaming Real Audio narration. Each page has at least one play button, (

) which is placed at the beginning of the first paragraph narrated in each file. To hear the narration, click on the play button. In order to hear the voice, you must have RealPlayer.
To ensure that your RealAudio is working properly, run a test.

Random Fibonacci number from the 1st through the 200th:

All contents, unless otherwise specified, are © 1999 by Matt Anderson, Jeffrey Frazier, and Kris Popendorf.
Created by Team 27890 for the 1999 competition.