HOME | DD

Description
body div#devskin0 hr { }

hi everybody it's time for a mathematic class

this journal is closely related my shot : 'Divine proportion' ->www.deviantart.com/deviation/4…
you can also see a picture of the statut of this mathematician in Pisa (italy off course) on my webcam window on this page.

a lot of people ask me if my nickname come from a TV show called 'prison break' well NO , I don't even own any tv.

I based my nickname on a famous mathematician named 'Leonardo Pisano Fibonacci' . He lived in Italy from 1170 to 1250. He was one of the greatest European mathematicians of the Middle Ages. Fibonacci travelled to North Africa and other countries around the world to study mathematics. Many of Fibonacci's discoveries are still valuable to mathematics, but he is most famous for his Fibonacci Sequence, a special number pattern, which you are about to discover.

FIBONACCIS NUMBERS :
The Fibonacci Sequence starts out like this:
1, 1, 2, 3, 5, 8, 13, 21, ....

WHY ARE FIBONACCIS NUMBERS SPECIAL?

You will find it hard to believe but Fibonacci numbers occur virtually everywhere in nature:
-rabbit population
-tree branches
-bee hives
-leaves and petals of plants
-pinecones
-sunflowers
-pineapples
-turtles
-spiral sea shells

For example, the number of petals of many plants turns out to be a Fibonacci number:

-White Calla Lily has 1 petal
-Crown of Thorns has 2 petals
-Iris has 3 petals
-Buttercup has 5 petals
-Delphiniums has 8 petals
-Cineraria has 13 petals,
and so on..
-This is why four leaf clovers are so rare. 4 is not a Fibonacci Number!!

FIBOANCCIS FACTS :

-The total number of clockwise spirals on a sunflower head is 55.
As well the number of counterclockwise spirals on a sunflower head is 34?
-Count them and check! Pineapples have 8 seeds arranged in clockwise spiral
As well the number of seeds in a Pineapple is 13 in a counterclockwise spiral.

How did Fibonacci discover his famous numbers?
->www.educ.queensu.ca/~fmc/may20…

THE GOLDEN MEAN IN FIBONACCIS NUMBERS:

-If we take the ratio of two successive numbers in Fibonacci's series, (1, 1, 2, 3, 5, 8, 13, ..) and we divide each by the number before it, we will find the following series of numbers:

1/1=1, 2/1=2, 3/2=1.5, 5/3=1.666...,8/5=1.6, 13/8=1.625,21/13=1.61538 etc..

-The ratio seems to be settling down to a particular value, which we call the golden ratio or the golden number. It has a value of approximately 1 ·61804.

-The golden ratio 1 ·618034 is also called the golden section or the golden mean or just the golden number. It is often represented by a greek letter Phi "" . The closely related value which we write as phi with a small "p" is just the decimal part of Phi, namely 0 ·618034.

-This set of rectangles whose sides are two successive Fibonacci numbers in length and which are composed of squares with sides which are Fibonacci numbers, we will call the Fibonacci Rectangles.

-here is this rectangles and the spiral ->www.formacion.cnice.mec.es/web…
-you can compare with my 'divine proportion' shot here -> www.deviantart.com/deviation/4…

THE GOLDEN NUMBER AND POETRY:

-The Fibonacci sequence of numbers appears everywhere including poetry.
-The numbers can occur in the meter
-the number of syllables per line
-the rhyming pattern
-the number of lines in a paragraph (or stanza)
-A poet doesn't necessarily try to use Fibonaci numbers into their poetry.

-It appears that this sequence can be enjoyed through poetry as well the other forms we have seen it in.

-Here are a couple of examples of fibonaci poetry:

-This is a form for a limerick. It is five lines long and tells a story (possibly a funny one).

-------The pattern of a limerick is as follows:

-The first two lines rhyme and have the same number of syllables (usually 8 or 9)
-The next two lines also rhyme and have the same number of syllables (usually 5)
-Finally The last line rhymes with and has the same number of syllables as the first two lines.

---Here is an outline for a fibonaci Limerick:

8 syllables
8 syllables
5 syllables
5 syllables
8 syllables

----exemple:

A limerick is funny to say.
The lines always sound the same way.
As they are spoken,
These lines are j okin',
So come on and try one today!

The first line has syllables eight.
The second has also, but wait...
The third line has five.
You're 'bout to arrive
At the punchline. You're doing GREAT!

With numbers--as though it were play.
He must have been bored
Right out of his'gourd'
To spend all his time in this way!

                                            --The Golden Number--

    Fibonacci played an important role in reviving ancient mathematics and made significant contributions of his own.

    The golden section has been used in many designs, from the ancient Parthenon in Athens (400BC) to Stradivari's violins. It was known to artists such as Leonardo da Vinci and musicians and composers, notably Bartók and Debussy.

    The golden section is also called the golden ratio, the golden mean and the divine proportion.

    This is a different kind of fact to the mathematicals one, being concerned with speculations about where Fibonacci numbers and the golden section both do and do not occur in art, architecture and music. All the other application are factual and verifiable - the material here is a often a matter of opinion. What do you think?

                                               --the Golden Rectangle--

    The Golden Rectangle is a unique and a very important shape in mathematics. The Golden Rectangle appears in nature, music, and is also often used in art and architecture. The special property of the Golden Rectangle is that the ratio of its length to the width equals to approximately 1.618:.
    The Golden Rectangle is considered to be one of the most pleasing and beautiful shapes to look at, which is why many artists have used it in their work.

    The two artists, who are perhaps the most famous for their use of the golden ratio, are Leonardo Da Vinci and Piet Mondrian
    Leonardo Da Vinci was a great Italian Renaissance painter as well as a scientist and inventor, who lived in 15th century. In his art, Da Vinci carefully examined the proportions of the human body and found many occurrences of the golden ratio and golden rectangles.

    You probably heard of "Mona Lisa" before. This is one of the most famous paintings in the world, and is a very good example of Da Vinci's use of the golden ratio in art.
    If you draw a rectangle around Mona Lisa's face, that rectangle will turn out to be golden. The dimensions of the painting itself also form a golden rectangle. As well, the proportions of Mona Lisa's body exhibit several golden ratios. For example, a golden rectangle can be drawn from her neck to just above the hands.
    Piet Mondrian is a modern Dutch artist, who lived in 1872 - 1944. Although at the beginning of his career, Mondrian painted many landscapes, he later on moved to an abstract style in his work. Mondrian is famous for using horizontal and vertical black lines as the basis for a lot of his paintings. Like Da Vinci, Mondrian believed that mathematics and art were closely connected. He used the simplest geometrical shapes and primary colours (blue, red, yellow) to express reality, nature and logic from a different point of view. (Mondrian's point of view lies in the fact that any shape is possible to create with basic geometric shapes as well as any colour can be created with different combinations of red, blue, and yellow)
    The Golden Rectangle is one of the basic shapes, which keeps appearing in Mondrian's art

Well I hope you enjoy to read this and that gave you envy to know more about him and this sequence

the 'thirds rule' in photography is in my opinion related to the divine proportion and if Vinci was alive I would ask him.

to conclude , life is mathematic and art as well

see yah everybody and for the one who asked me to talk about this well I hope you learn something interesting and that you'll continue to look for the relation between art and mathematic

glad to be with you on DA ,

Axel aka feebonacci ......................... lausanne Switzerland .

deviantART — Description
body div#devskin0 hr { }

hi everybody it's time for a mathematic class

this journal is closely related my shot : 'Divine proportion' ->www.deviantart.com/deviation/4…
you can also see a picture of the statut of this mathematician in Pisa (italy off course) on my webcam window on this page.

a lot of people ask me if my nickname come from a TV show called 'prison break' well NO , I don't even own any tv.

I based my nickname on a famous mathematician named 'Leonardo Pisano Fibonacci' . He lived in Italy from 1170 to 1250. He was one of the greatest European mathematicians of the Middle Ages. Fibonacci travelled to North Africa and other countries around the world to study mathematics. Many of Fibonacci's discoveries are still valuable to mathematics, but he is most famous for his Fibonacci Sequence, a special number pattern, which you are about to discover.

FIBONACCIS NUMBERS :
The Fibonacci Sequence starts out like this:
1, 1, 2, 3, 5, 8, 13, 21, ....

WHY ARE FIBONACCIS NUMBERS SPECIAL?

You will find it hard to believe but Fibonacci numbers occur virtually everywhere in nature:
-rabbit population
-tree branches
-bee hives
-leaves and petals of plants
-pinecones
-sunflowers
-pineapples
-turtles
-spiral sea shells

For example, the number of petals of many plants turns out to be a Fibonacci number:

-White Calla Lily has 1 petal
-Crown of Thorns has 2 petals
-Iris has 3 petals
-Buttercup has 5 petals
-Delphiniums has 8 petals
-Cineraria has 13 petals,
and so on..
-This is why four leaf clovers are so rare. 4 is not a Fibonacci Number!!

FIBOANCCIS FACTS :

-The total number of clockwise spirals on a sunflower head is 55.
As well the number of counterclockwise spirals on a sunflower head is 34?
-Count them and check! Pineapples have 8 seeds arranged in clockwise spiral
As well the number of seeds in a Pineapple is 13 in a counterclockwise spiral.

How did Fibonacci discover his famous numbers?
->www.educ.queensu.ca/~fmc/may20…

THE GOLDEN MEAN IN FIBONACCIS NUMBERS:

-If we take the ratio of two successive numbers in Fibonacci's series, (1, 1, 2, 3, 5, 8, 13, ..) and we divide each by the number before it, we will find the following series of numbers:

1/1=1, 2/1=2, 3/2=1.5, 5/3=1.666...,8/5=1.6, 13/8=1.625,21/13=1.61538 etc..

-The ratio seems to be settling down to a particular value, which we call the golden ratio or the golden number. It has a value of approximately 1 ·61804.

-The golden ratio 1 ·618034 is also called the golden section or the golden mean or just the golden number. It is often represented by a greek letter Phi "" . The closely related value which we write as phi with a small "p" is just the decimal part of Phi, namely 0 ·618034.

-This set of rectangles whose sides are two successive Fibonacci numbers in length and which are composed of squares with sides which are Fibonacci numbers, we will call the Fibonacci Rectangles.

-here is this rectangles and the spiral ->www.formacion.cnice.mec.es/web…
-you can compare with my 'divine proportion' shot here -> www.deviantart.com/deviation/4…

THE GOLDEN NUMBER AND POETRY:

-The Fibonacci sequence of numbers appears everywhere including poetry.
-The numbers can occur in the meter
-the number of syllables per line
-the rhyming pattern
-the number of lines in a paragraph (or stanza)
-A poet doesn't necessarily try to use Fibonaci numbers into their poetry.

-It appears that this sequence can be enjoyed through poetry as well the other forms we have seen it in.

-Here are a couple of examples of fibonaci poetry:

-This is a form for a limerick. It is five lines long and tells a story (possibly a funny one).

-------The pattern of a limerick is as follows:

-The first two lines rhyme and have the same number of syllables (usually 8 or 9)
-The next two lines also rhyme and have the same number of syllables (usually 5)
-Finally The last line rhymes with and has the same number of syllables as the first two lines.

---Here is an outline for a fibonaci Limerick:

8 syllables
8 syllables
5 syllables
5 syllables
8 syllables

----exemple:

A limerick is funny to say.
The lines always sound the same way.
As they are spoken,
These lines are j okin',
So come on and try one today!

The first line has syllables eight.
The second has also, but wait...
The third line has five.
You're 'bout to arrive
At the punchline. You're doing GREAT!

With numbers--as though it were play.
He must have been bored
Right out of his'gourd'
To spend all his time in this way!

                                            --The Golden Number--

    Fibonacci played an important role in reviving ancient mathematics and made significant contributions of his own.

    The golden section has been used in many designs, from the ancient Parthenon in Athens (400BC) to Stradivari's violins. It was known to artists such as Leonardo da Vinci and musicians and composers, notably Bartók and Debussy.

    The golden section is also called the golden ratio, the golden mean and the divine proportion.

    This is a different kind of fact to the mathematicals one, being concerned with speculations about where Fibonacci numbers and the golden section both do and do not occur in art, architecture and music. All the other application are factual and verifiable - the material here is a often a matter of opinion. What do you think?

                                               --the Golden Rectangle--

    The Golden Rectangle is a unique and a very important shape in mathematics. The Golden Rectangle appears in nature, music, and is also often used in art and architecture. The special property of the Golden Rectangle is that the ratio of its length to the width equals to approximately 1.618:.
    The Golden Rectangle is considered to be one of the most pleasing and beautiful shapes to look at, which is why many artists have used it in their work.

    The two artists, who are perhaps the most famous for their use of the golden ratio, are Leonardo Da Vinci and Piet Mondrian
    Leonardo Da Vinci was a great Italian Renaissance painter as well as a scientist and inventor, who lived in 15th century. In his art, Da Vinci carefully examined the proportions of the human body and found many occurrences of the golden ratio and golden rectangles.

    You probably heard of "Mona Lisa" before. This is one of the most famous paintings in the world, and is a very good example of Da Vinci's use of the golden ratio in art.
    If you draw a rectangle around Mona Lisa's face, that rectangle will turn out to be golden. The dimensions of the painting itself also form a golden rectangle. As well, the proportions of Mona Lisa's body exhibit several golden ratios. For example, a golden rectangle can be drawn from her neck to just above the hands.
    Piet Mondrian is a modern Dutch artist, who lived in 1872 - 1944. Although at the beginning of his career, Mondrian painted many landscapes, he later on moved to an abstract style in his work. Mondrian is famous for using horizontal and vertical black lines as the basis for a lot of his paintings. Like Da Vinci, Mondrian believed that mathematics and art were closely connected. He used the simplest geometrical shapes and primary colours (blue, red, yellow) to express reality, nature and logic from a different point of view. (Mondrian's point of view lies in the fact that any shape is possible to create with basic geometric shapes as well as any colour can be created with different combinations of red, blue, and yellow)
    The Golden Rectangle is one of the basic shapes, which keeps appearing in Mondrian's art

Well I hope you enjoy to read this and that gave you envy to know more about him and this sequence

the 'thirds rule' in photography is in my opinion related to the divine proportion and if Vinci was alive I would ask him.

to conclude , life is mathematic and art as well

see yah everybody and for the one who asked me to talk about this well I hope you learn something interesting and that you'll continue to look for the relation between art and mathematic

glad to be with you on DA ,

Axel aka feebonacci ......................... lausanne Switzerland .