Lesson Phi

Source code of 'Phi'

This Lesson (Phi) was created by by Nate(3500)

This Is The: Fibonacci Series
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144 ....
0 + 1 = 1
0, 1, 1
1 + 1 = 2
0, 1, 1, 2
1 + 2 = 3
0, 1, 1, 2, 3
The Importance of This Is That A Number Divided By Its Preceeding Number = close to Phi
*The higher the number being divided, the closer the number to Phi
Example:
2/1 = 2
5/3 = 1.6667
13/8 = 1.625
144/89 = 1.61798
Phi is called the Golden Number or the Divine Number and can be manipulated in nature or in architecture in the form known as the Golden Ratio(1.61803:1). You will see this number pop up in plants, music, architecture, nautilluses, and etc.
The Actual Digits:
Phi is represented by: x^2 = x + 1
When you solve for {{{x}}}, you get a positive reading of:
{{{(1 + sqrt(5))/2}}}
which gives you the exact numbers of Phi.
Why is it represented by that equation?
A very long time ago, "geomatricians" thought about disecting lines. They also proposed that the ratio of the longer piece to the smaller piece is proportional to the ratio of the whole line to the longer segment.
From Line AC, we bisect with point B. We know that AB = 1.
..............1........................................x...........
A---------------B-------------------------C
BC/AB = AC/BC
BC^2 = (AB)(AC)
x^2 = (1)(x + 1)
x^2 = x + 1
The line shows proporionality to the Golden Number.