The document discusses the Fibonacci sequence, which is a series of numbers where each subsequent number is the sum of the previous two. It begins with Leonardo Fibonacci introducing the sequence to Western mathematics. It then describes how the sequence appears in nature, such as in the spiral of shells. Specifically, it examines how the Fibonacci sequence relates to the number of bones in the human hand. The palm and knuckles correspond to the early numbers in the sequence, demonstrating how this mathematical concept appears throughout our bodies.
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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
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.