1. 1
*

2. *The Fibonacci Numbers start with 1 and 1.
*The next number represents the sum of the
previous two numbers.
2
*

3. 3
*
If you take any two
consecutive Fibonacci
numbers and divide them,
then the value of that ratio is
approximately 1.6
This is often called the
golden ratio
Small Number Large Number Ratio
3 5 1.666666
5 8 1.6
8 13 1.625
13 21 1.615

4. 4
*
Rectangles (called golden
rectangles) can be drawn using
consecutive Fibonacci numbers as
the dimensions.
This golden rectangle (55 wide by
34 high) can be subdivided into
smaller golden rectangles.
A nice spiral can be drawn in each
golden (“Fibonacci”( rectangle –
no matter what the size.

5. *
Spirals of a pineapple:
Three arms of 5, 8, and 13
5
Spirals of a pinecone:
5 arms and 8 arms (small ones)
8 arms and 13 arms (large ones)
Scientists speculate that plants grow in
spiral formation (with Fibonacci
numbers) because this arrangement
makes for the perfect spacing for
maximum growth and survival.
Bananas have 3 or 5 flat sides.

6. *
6
* Lilies and irises = 3 petals
Black-eyed Susan’s = 21 petalsCorn marigolds = 13 petals
Buttercups and wild roses = 5 petals

7. 7
~ Fibonacci spiral found in both snail and sea shells
*

8. *
A scale has 8 notes
There are 13 notes through its octave
5 black notes, 8 white notes
8

9. *
Body parts:
1 nose
2 eyes
3 segments in each limb
5 fingers on each hand
9
DNA molecules:
21 angstroms wide
34 angstroms long
(in each full cycle of the double helix)
The ratio of consecutive parts of the
fingers is equal to 1.6

10. *
The Parthenon ( an ancient temple in
Athens) fits almost precisely into a
golden rectangle.
10
In the United Nations building, the width of
the building compared with the height of
every ten floors is a golden rectangle

11. *
The Parthenon ( an ancient temple in
Athens) fits almost precisely into a
golden rectangle.
11
Mona Lisa’s beautiful smile appears to change and her eyes seem to follow you as
you move about her. Her proportions have been examined extensively, and Leonardo
seems to have made extensive use of the golden rectangle in its creation.

12. *
The “Rule of Thirds” in
photography
12

13. *
• Cigarette packs (89 x 55 mm)
• Matchboxes (55 x 34 mm)
• Business cards (89 x 55 mm)
• Index cards
• Some calculators and cell phones
• Some computer and TV screens
13

14. *
*Fibonacci: Fingerprint of
God
*Golden Ratio in the Human
Body
*1.618 Phi
14