Fibonacci

Fibonacci

1. 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 (5n*)-4 or (5n*)+4 is a whole number (a perfect square) then the number is a Fibonacci number
           • *=squared number, n=number

2. 1 1 2 3 5 8 13 21 34 55 89 144 233 377

3. 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 numberwith 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

4. How the Fibonacci sequence appear in our lives

   • The Fibonacci sequence plays a small part in the best-selling novel and film The Da Vinci Code
   • Fibonacci number have also been used in knitting to create aesthatically appealing patterns
     • The full grown middle finger-length uses the Fibonacci sequence
   • 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 a 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")
     • In the February 8, 2009 edition of FoxTrotby Bill Amend, character Jason and Marcus take one nacho from a bowl, one more nacho, then two nachos, three nachos, five nachos, eight nachos, etc. calling it "Fibonacci"

5. Facts about Fibonacci

   • His real name was Leonardo Pisano
   • Born: 1170 in (probably) Pisa (now in Italy) Died: 1250 in (possibly) Pisa (now in Italy)
   • There is now a statue commemorating him located at the Leaning Tower end of cemetery next to the Cathedral in Pisa

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