1.1 Can you identify if a number is a fibonacci
number when you see it on its own?
1.1.1 Yes there is a way
1.1.1.1 You can test it
using a formula.
1.1.1.1.1 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.
1.1.1.1.1.1 *= squared; n= the number
2 Question
Number 2
2.1 Is there a formula to calculate the next Fibonacci number when you are
given a single Fibonacci number?
2.1.1 The ratio of any Fibonacci number with the
previous Fibonacci number is a consistent ratio.
2.1.1.1 This ratio is known as the golden
ratio which is about 1.631803
2.1.1.1.1 So if you multiply any Fibonacci number
by the golden ratio you will obtain the
next Fibonacci number.
3 Facts about
Fibonacci
3.1 Born: 1170 in (probably)
Pisa (now in Italy) Died:
1250 in (possibly) Pisa
(now in Italy)
3.2 His real name was
Leonardo Pisano
3.3 There is now a statue
commemorating him located
at the Leaning Tower end of
the cemetery next to the
Cathedral in Pisa.
4 How the fibonacci
sequence appears in
our lives.
4.1 The Fibonacci sequence plays a small part in
the bestselling novel and film The Da Vinci
Code
4.2 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.'
4.3 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.
4.4 Fibonacci numbers have also been
used in knitting to create aesthetically
appealing patterns.
4.5 The full grown middle finger
length uses the Fibonacci
sequence
4.6 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").