1524213
Description
Mind Map by Andrea Leyden, updated more than 1 year ago
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Created by samuel.cook
about 10 years ago
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Copied by Andrea Leyden
about 10 years ago
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Fibonacci
Number/Sequence
- Question
Number 1
- Can you identify if a number is a fibonacci
number when you see it on its own?
- Yes there is a way
- You can test it
using a formula.
- If the square root of 5(n*)-4 or 5(n*)+4 is a whole number (a perfect square)
then the number is a Fibonacci number.
- *= squared; n= the number
- *= squared; n= the number
- If the square root of 5(n*)-4 or 5(n*)+4 is a whole number (a perfect square)
then the number is a Fibonacci number.
- You can test it
using a formula.
- Yes there is a way
- Can you identify if a number is a fibonacci
number when you see it on its own?
- Question
Number 2
- Is there a formula to calculate the next Fibonacci number when you are
given a single Fibonacci number?
- The ratio of any Fibonacci number with the
previous Fibonacci number is a consistent ratio.
- This ratio is known as the golden
ratio which is about 1.631803
- So if you multiply any Fibonacci number
by the golden ratio you will obtain the
next Fibonacci number.
- So if you multiply any Fibonacci number
by the golden ratio you will obtain the
next Fibonacci number.
- This ratio is known as the golden
ratio which is about 1.631803
- The ratio of any Fibonacci number with the
previous Fibonacci number is a consistent ratio.
- Is there a formula to calculate the next Fibonacci number when you are
given a single Fibonacci number?
- Facts about
Fibonacci
- Born: 1170 in (probably)
Pisa (now in Italy) Died:
1250 in (possibly) Pisa
(now in Italy)
- His real name was
Leonardo Pisano
- There is now a statue
commemorating him located
at the Leaning Tower end of
the cemetery next to the
Cathedral in Pisa.
- Born: 1170 in (probably)
Pisa (now in Italy) Died:
1250 in (possibly) Pisa
(now in Italy)
- How the fibonacci
sequence appears in
our lives.
- The Fibonacci sequence plays a small part in
the bestselling novel and film The Da Vinci
Code
- In the February 8, 2009 edition of
FoxTrot by Bill Amend, characters
Jason and Marcus take one nacho
from a bowl, one more nacho, then
two nachos, three nachos, five
nachos, eight nachos, etc., calling it
'Fibonacho.'
- Artist Mario Merz made the Fibonacci sequence a recurring
theme in his work. Examples are the Chimney of Turku Energia,
in Turku, Finland, featuring the start of the Fibonacci sequence
in 2m high neon lights.
- Fibonacci numbers have also been
used in knitting to create aesthetically
appealing patterns.
- The full grown middle finger
length uses the Fibonacci
sequence
- As well as the representation of the first Fibonacci numbers with red
neon lights on one of the four-faced dome of the Mole Antonelliana in
Turin, Italy, part of the artistic work Il volo dei Numeri ("Flight of the
numbers").
- The Fibonacci sequence plays a small part in
the bestselling novel and film The Da Vinci
Code
- 1, 1, 2, 3, 5, 8, 13, 21,
34, 55, 89, 144, 233,
377....
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