SlideShare ist ein Scribd-Unternehmen logo
1 von 8
Downloaden Sie, um offline zu lesen
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.

Weitere ähnliche Inhalte

Andere mochten auch

Satanic origin of the Gregorian Calendar
Satanic origin of the Gregorian Calendar Satanic origin of the Gregorian Calendar
Satanic origin of the Gregorian Calendar charlesmartel1974
 
Aula de literatura - Javier Rodríguez Marcos
Aula de literatura - Javier Rodríguez MarcosAula de literatura - Javier Rodríguez Marcos
Aula de literatura - Javier Rodríguez MarcosCésar Bárcena
 
International Women's day
International Women's dayInternational Women's day
International Women's daytemago
 
Revolutions, liberalism and nationalism
Revolutions, liberalism and nationalismRevolutions, liberalism and nationalism
Revolutions, liberalism and nationalismtemago
 
Los conejos de fibonacci
Los conejos de fibonacciLos conejos de fibonacci
Los conejos de fibonacciAnalia Agüero
 
American penpals
American penpals American penpals
American penpals temago
 
Fibonacci sequence
Fibonacci sequenceFibonacci sequence
Fibonacci sequencelmrio
 
Fibonacci Sequence and Golden Ratio
Fibonacci Sequence and Golden RatioFibonacci Sequence and Golden Ratio
Fibonacci Sequence and Golden Ratiovayappurathu
 
Boletin segundo trimestre_2016_2017
Boletin segundo trimestre_2016_2017Boletin segundo trimestre_2016_2017
Boletin segundo trimestre_2016_2017César Bárcena
 

Andere mochten auch (14)

Novedades uex 2017
Novedades uex 2017Novedades uex 2017
Novedades uex 2017
 
Satanic origin of the Gregorian Calendar
Satanic origin of the Gregorian Calendar Satanic origin of the Gregorian Calendar
Satanic origin of the Gregorian Calendar
 
Aula de literatura - Javier Rodríguez Marcos
Aula de literatura - Javier Rodríguez MarcosAula de literatura - Javier Rodríguez Marcos
Aula de literatura - Javier Rodríguez Marcos
 
International Women's day
International Women's dayInternational Women's day
International Women's day
 
Revolutions, liberalism and nationalism
Revolutions, liberalism and nationalismRevolutions, liberalism and nationalism
Revolutions, liberalism and nationalism
 
Los conejos de fibonacci
Los conejos de fibonacciLos conejos de fibonacci
Los conejos de fibonacci
 
Leonardo Fibonacci
Leonardo FibonacciLeonardo Fibonacci
Leonardo Fibonacci
 
Fibonacci
FibonacciFibonacci
Fibonacci
 
English accents around the world
English accents around the worldEnglish accents around the world
English accents around the world
 
History of Months
History of MonthsHistory of Months
History of Months
 
American penpals
American penpals American penpals
American penpals
 
Fibonacci sequence
Fibonacci sequenceFibonacci sequence
Fibonacci sequence
 
Fibonacci Sequence and Golden Ratio
Fibonacci Sequence and Golden RatioFibonacci Sequence and Golden Ratio
Fibonacci Sequence and Golden Ratio
 
Boletin segundo trimestre_2016_2017
Boletin segundo trimestre_2016_2017Boletin segundo trimestre_2016_2017
Boletin segundo trimestre_2016_2017
 

Mehr von Teresa Martín Gómez

Mehr von Teresa Martín Gómez (13)

Peter Pan (Laura Prieto)
Peter Pan  (Laura Prieto)Peter Pan  (Laura Prieto)
Peter Pan (Laura Prieto)
 
The prisoner of Zenda (Alicia)
The prisoner of Zenda   (Alicia)The prisoner of Zenda   (Alicia)
The prisoner of Zenda (Alicia)
 
Tutankhamun (Laura Estevez)
Tutankhamun  (Laura Estevez)Tutankhamun  (Laura Estevez)
Tutankhamun (Laura Estevez)
 
The Prince and the Pauper (María)
The Prince and the Pauper (María)The Prince and the Pauper (María)
The Prince and the Pauper (María)
 
The Canterville Ghost (Fran Muñoz)
The Canterville Ghost (Fran Muñoz)The Canterville Ghost (Fran Muñoz)
The Canterville Ghost (Fran Muñoz)
 
Five Children and It (Sara)
Five Children and It (Sara)Five Children and It (Sara)
Five Children and It (Sara)
 
Sherlock Holmes: The blue diamond (Nacho)
Sherlock Holmes: The blue diamond (Nacho)Sherlock Holmes: The blue diamond (Nacho)
Sherlock Holmes: The blue diamond (Nacho)
 
Legends from the British Isles (Fan Mesa)
Legends from the British Isles  (Fan Mesa)Legends from the British Isles  (Fan Mesa)
Legends from the British Isles (Fan Mesa)
 
Legends from the British Isles (Ana)
Legends from the British Isles  (Ana)Legends from the British Isles  (Ana)
Legends from the British Isles (Ana)
 
Jump to Freedom (Dani Galván)
Jump to Freedom  (Dani Galván)Jump to Freedom  (Dani Galván)
Jump to Freedom (Dani Galván)
 
An Eskimo Adventure (Alejandro)
An Eskimo Adventure  (Alejandro)An Eskimo Adventure  (Alejandro)
An Eskimo Adventure (Alejandro)
 
The Prince and the Pauper (Adriana)
The Prince and the Pauper (Adriana)The Prince and the Pauper (Adriana)
The Prince and the Pauper (Adriana)
 
The old quarter of cáceres
The old quarter of cáceresThe old quarter of cáceres
The old quarter of cáceres
 

Kürzlich hochgeladen

Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104misteraugie
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introductionMaksud Ahmed
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactPECB
 
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...fonyou31
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdfSoniaTolstoy
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdfQucHHunhnh
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdfQucHHunhnh
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxSayali Powar
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDThiyagu K
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfchloefrazer622
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room servicediscovermytutordmt
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajanpragatimahajan3
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...Pooja Nehwal
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpinRaunakKeshri1
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Sapana Sha
 
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...Sapna Thakur
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingTechSoup
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformChameera Dedduwage
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionSafetyChain Software
 

Kürzlich hochgeladen (20)

Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104Nutritional Needs Presentation - HLTH 104
Nutritional Needs Presentation - HLTH 104
 
Advance Mobile Application Development class 07
Advance Mobile Application Development class 07Advance Mobile Application Development class 07
Advance Mobile Application Development class 07
 
microwave assisted reaction. General introduction
microwave assisted reaction. General introductionmicrowave assisted reaction. General introduction
microwave assisted reaction. General introduction
 
Beyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global ImpactBeyond the EU: DORA and NIS 2 Directive's Global Impact
Beyond the EU: DORA and NIS 2 Directive's Global Impact
 
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
Ecosystem Interactions Class Discussion Presentation in Blue Green Lined Styl...
 
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdfBASLIQ CURRENT LOOKBOOK  LOOKBOOK(1) (1).pdf
BASLIQ CURRENT LOOKBOOK LOOKBOOK(1) (1).pdf
 
1029-Danh muc Sach Giao Khoa khoi 6.pdf
1029-Danh muc Sach Giao Khoa khoi  6.pdf1029-Danh muc Sach Giao Khoa khoi  6.pdf
1029-Danh muc Sach Giao Khoa khoi 6.pdf
 
1029 - Danh muc Sach Giao Khoa 10 . pdf
1029 -  Danh muc Sach Giao Khoa 10 . pdf1029 -  Danh muc Sach Giao Khoa 10 . pdf
1029 - Danh muc Sach Giao Khoa 10 . pdf
 
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptxPOINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
POINT- BIOCHEMISTRY SEM 2 ENZYMES UNIT 5.pptx
 
Measures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SDMeasures of Dispersion and Variability: Range, QD, AD and SD
Measures of Dispersion and Variability: Range, QD, AD and SD
 
Arihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdfArihant handbook biology for class 11 .pdf
Arihant handbook biology for class 11 .pdf
 
9548086042 for call girls in Indira Nagar with room service
9548086042  for call girls in Indira Nagar  with room service9548086042  for call girls in Indira Nagar  with room service
9548086042 for call girls in Indira Nagar with room service
 
social pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajansocial pharmacy d-pharm 1st year by Pragati K. Mahajan
social pharmacy d-pharm 1st year by Pragati K. Mahajan
 
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...Russian Call Girls in Andheri Airport Mumbai WhatsApp  9167673311 💞 Full Nigh...
Russian Call Girls in Andheri Airport Mumbai WhatsApp 9167673311 💞 Full Nigh...
 
Student login on Anyboli platform.helpin
Student login on Anyboli platform.helpinStudent login on Anyboli platform.helpin
Student login on Anyboli platform.helpin
 
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111Call Girls in Dwarka Mor Delhi Contact Us 9654467111
Call Girls in Dwarka Mor Delhi Contact Us 9654467111
 
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
BAG TECHNIQUE Bag technique-a tool making use of public health bag through wh...
 
Grant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy ConsultingGrant Readiness 101 TechSoup and Remy Consulting
Grant Readiness 101 TechSoup and Remy Consulting
 
A Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy ReformA Critique of the Proposed National Education Policy Reform
A Critique of the Proposed National Education Policy Reform
 
Mastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory InspectionMastering the Unannounced Regulatory Inspection
Mastering the Unannounced Regulatory Inspection
 

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.