How do tessilations relate to the Fibonacci sequence, the golden rat.pdf

How do tessilations relate to the Fibonacci sequence, the golden ratio, and other natural occuring
mathematical sequences?
Solution
Fibonacci\'s sequence is a set of numbers starting with 0 and 1 in which each subsequent number
is the sum of the two before it.
0 + 1 = 1
1 + 1 = 2
1 + 2 = 3 and so on...
0,1,1,2,3,5,8,13,21,34...
This sequence of numbers was created by Fibonacci as a representation of the fastest possible
growth of a rabbit population. It\'s importance in math is that it has many interesting and
mysterious relationships with nature. For instance, the number of petals on most types of flowers
is usually a number that can be found in the Fibonacci sequence.
Also, as you go farther through the sequence, the quotient of one number divided by the number
that precedes it grows closer and closer to Phi, an irrational number also known as the \"Golden
Ratio\". The value of Phi is approximately 1.618.... and it is a ratio that occurs in many natural
things, such as certain proportions of the human body..

1. How do tessilations relate to the Fibonacci sequence, the golden ratio, and other natural occuring
mathematical sequences?

Solution

Fibonacci\'s sequence is a set of numbers starting with 0 and 1 in which each subsequent number
is the sum of the two before it.

0 + 1 = 1
1 + 1 = 2
1 + 2 = 3 and so on...

0,1,1,2,3,5,8,13,21,34...

This sequence of numbers was created by Fibonacci as a representation of the fastest possible
growth of a rabbit population. It\'s importance in math is that it has many interesting and
mysterious relationships with nature. For instance, the number of petals on most types of flowers
is usually a number that can be found in the Fibonacci sequence.

Also, as you go farther through the sequence, the quotient of one number divided by the number
that precedes it grows closer and closer to Phi, an irrational number also known as the \"Golden
Ratio\". The value of Phi is approximately 1.618.... and it is a ratio that occurs in many natural
things, such as certain proportions of the human body.