Manitoba, eh?!

Tell Us About the Fibonacci Numbers

These special numbers are named after a 12th century Italian mathematician.
Please send your comments to

Your contributions will appear at the bottom of this page under 'Viewers' Comments" .

The first 13 Fibonacci numbers are 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and 233. [The number 1 occurs twice.]   Any number in the sequence is the sum of the previous two numbers.   The pattern continues without end (377, 610, 987, 1597, ...).

       13 = 5 plus 8             55 = 21 plus 34                 For more examples, click here .

These numbers are found in abundance on Earth and in the universe.   For example,
the number of petals in a flower is usually one of these numbers.

For examples in the flower kingdom, click here .

When any Fibonacci number is divided by the previous number (this works best with the larger numbers), the answer equals approx. 1.618

       144/89 = approx. 1.618        89/55 = approx. 1.618        233/144 = approx. 1.618

This number 1.618 [actually 1.6180399...] occurs so frequently that it has been given a special name, 'the golden number' [a.k.a. the golden ratio, the golden section, the golden mean, the Greek letter phi, and others]   It was revered in some societies and given the title, 'the divine proportion'.

The golden number occurs in the spiral of galaxies, sunflower heads, paintings by Leonardo da Vinci & others, in animals & plants, in architecture, in music, the stock market, and many other places.

To view its occurence in the human hand, click here .

To view its occurence in the human face, click here .

To view its occurence in architecture & art, click here .

For other examples, click here .

Viewers' Comments