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FIBONACCI
Sierra de Santa Barbara high school 2ºB
Laura, Alicia, Rebeca and Maria
The Fibonacci Sequence
The fibonacci sequence is named
after Leonardo Fibonacci. His 1202
books Liber Abaci introduced the
sequence to Western European
mathematics.
In mathematics, the Fibonacci
numbers or the Fibonacci sequence
are the following:
0,1,1,2,3,5,8,13,21,34,55,89,144,...
DEFINITION
The first two numbers in the
Fibonacci sequence are 1 and 1, or 0
and 1, and each subsequent number
is the sum of the previous two.
0+1=1;1+1=2;1+2=3;2+3=5;3+5=8;...
Leonardo de Pisa
Leonardo de Pisa, known as Fibonacci,
was an italian mathematician. Fibonacci
is best known because of the Hindu-
arabic numeral system, his composition
of Liber Abaci (book of calculation), and
the Fibonacci sequence.
FIBONACCI
The sequence of Fibonacci appears
everywhere, in flowers, in the human
body (in fingers) in fruits ...
We are going to talk about the relation
between the Fibonacci sequence and the
fingers .
THE FINGERS OF
A HAND
Fibonacci sequence in the fingers
Knuckles
Palm
Fingers
Phalanxes
Explanation
The Fibonacci sequence in
fingers develops in this
way:
1 palm +2 knuckles = 3 phalanxes
2 knuckles + 3 phalanxes =5 fingers
And this is the same as the
fibonacci sequence:
0,1,1,2,3,5,8,13…...
+ =
1 2 3
+ =
2 3 5
knuckles
palm
phalanxes
knuckles
phalanxes fingers
Summary of ‘Rabbits,Rabbits,Everywhere’
The book is about a village called Chee. In this village live the Pied Piper and
Amanda, who are the main characters of the book. The Pied Piper, with a
group of people, carries food to the wizard, but one day the Pied Piper
gets tired of carrying food to the wizard, so the wizard gets angry with the
village. The wizard casts a spell and the village gets full of rabbits. Amanda
knows that the growing number of rabbits has a code, and it is the
Fibonacci sequence. When she knows this sequence she goes to the
wizard's house and she tells him that she has guessed the code of the
rabbits. So the wizard gives Amanda a magic flute. This way, Amanda
takes the rabbits out of the village.
Leonardo de Pisa’s biography
Guglielmo’s surname (Guillermo), father
of Leonardo, was Bonacci. Leonardo
was called, posthumously, Fibonacci for
being “filius Bonacci” (son of Bonacci.)
Guglielmo was directing a position
(place) of trade in Bugía, in the north of
Africa (today Bejaia, Algeria) According
to some versions he was the consul of
Pisa and with his child Leonardo, he
travelled to help there. There he learned
the system of Arabic numbers.
CONCLUSION
We think that this sequence is amazing
because Fibonacci discovered it is
everywhere, wherever you look you see things
that have the Fibonacci sequence.

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Fibonacci Sequence 4

  • 1. FIBONACCI Sierra de Santa Barbara high school 2ºB Laura, Alicia, Rebeca and Maria
  • 2. The Fibonacci Sequence The fibonacci sequence is named after Leonardo Fibonacci. His 1202 books Liber Abaci introduced the sequence to Western European mathematics. In mathematics, the Fibonacci numbers or the Fibonacci sequence are the following: 0,1,1,2,3,5,8,13,21,34,55,89,144,... DEFINITION The first two numbers in the Fibonacci sequence are 1 and 1, or 0 and 1, and each subsequent number is the sum of the previous two. 0+1=1;1+1=2;1+2=3;2+3=5;3+5=8;...
  • 3. Leonardo de Pisa Leonardo de Pisa, known as Fibonacci, was an italian mathematician. Fibonacci is best known because of the Hindu- arabic numeral system, his composition of Liber Abaci (book of calculation), and the Fibonacci sequence. FIBONACCI The sequence of Fibonacci appears everywhere, in flowers, in the human body (in fingers) in fruits ... We are going to talk about the relation between the Fibonacci sequence and the fingers . THE FINGERS OF A HAND
  • 4. Fibonacci sequence in the fingers Knuckles Palm Fingers Phalanxes
  • 5. Explanation The Fibonacci sequence in fingers develops in this way: 1 palm +2 knuckles = 3 phalanxes 2 knuckles + 3 phalanxes =5 fingers And this is the same as the fibonacci sequence: 0,1,1,2,3,5,8,13…... + = 1 2 3 + = 2 3 5 knuckles palm phalanxes knuckles phalanxes fingers
  • 6. Summary of ‘Rabbits,Rabbits,Everywhere’ The book is about a village called Chee. In this village live the Pied Piper and Amanda, who are the main characters of the book. The Pied Piper, with a group of people, carries food to the wizard, but one day the Pied Piper gets tired of carrying food to the wizard, so the wizard gets angry with the village. The wizard casts a spell and the village gets full of rabbits. Amanda knows that the growing number of rabbits has a code, and it is the Fibonacci sequence. When she knows this sequence she goes to the wizard's house and she tells him that she has guessed the code of the rabbits. So the wizard gives Amanda a magic flute. This way, Amanda takes the rabbits out of the village.
  • 7. Leonardo de Pisa’s biography Guglielmo’s surname (Guillermo), father of Leonardo, was Bonacci. Leonardo was called, posthumously, Fibonacci for being “filius Bonacci” (son of Bonacci.) Guglielmo was directing a position (place) of trade in Bugía, in the north of Africa (today Bejaia, Algeria) According to some versions he was the consul of Pisa and with his child Leonardo, he travelled to help there. There he learned the system of Arabic numbers.
  • 8. CONCLUSION We think that this sequence is amazing because Fibonacci discovered it is everywhere, wherever you look you see things that have the Fibonacci sequence.