A Fibonacci pattern always begins with two numbers you choose (usually begins with 0 and 1, but can begin with any two numbers you choose). The third number in the sequence is found by adding the previous two numbers. This pattern continues until you choose to stop.
EXAMPLE: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, etc.
EXPLAINED: 0, 1, (0+1=1), (1+1=2), (1+2=3), (2+3=5), (3+5=8), (5+8=13), (8+13=21), (13+21=34), etc.
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Fibonacci Sequence and other
The Fibonacci sequence is named after Italian mathematician Leonardo of Pisa, known as Fibonacci. His 1202 book Liber Abaci introduced the sequence to Western European mathematics, although the sequence had been described earlier as Virahankanumbers in Indian mathematics.
Without Mathematics there is no art is one of the famous quote that Fibonacci said. Fibonacci was one of the greatest genius of number theory during the 2000 years between Diophantus and Fermat.
He discovered a pattern within its structure
The Fibonacci sequence mathematically proves that nature isn't random it follows a pattern. However there are exceptions like most things.