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Description
Mind Map by samuel.cook, updated more than 1 year ago
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Created by samuel.cook
over 10 years ago
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Fibonacci
- 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. 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").
- Fibonacci numbers have also been used in knitting to create aesthetically appealing patterns.
- The full grown middle finger length uses the Fibonacci sequence
- 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
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