Pi and Phi are connected mathematically, for
pi may be calculated from the Fibonacci sequence
The Fibonacci sequence is defined by the formula
u(0) = 0, u(1) = 1
u(n+1) = u(n) + u(n1)
So u(2) = 1, u(3) = 2, u(4) = 5, u(5) = 8, u(6) = 13, u(7)
= 21, u(8) = 34.........
This connects to pi in the following manner:
 Calculate all the Fibonacci numbers from u(1) up to u(m).
 Multiply all the results together and call this P(m).
 Find the Least Common Multiple LCM(m) from the numbers
u(1) through u(m).
 (The Least Common Multiple of two or more numbers is the
smallest number that can be exactly divided by all the numbers)
 Calculate the square root of 6logP(m)/logLCM(m) and call
it Z(m).
 As values of m increases the value of Z(m) becomes closer
to pi.
For m=7 P(m) is 1*1*2*3*5*8*13*21 = 32760
LCM(m)=10920 (i.e. 3*5*7*2*2*2*13)
6*(log32760/log10920) = 6*4.515/4.038 = 6.709. Square root
is 2.590 = Z(m)
For m=8 P(m) is 1*1*2*3*5*8*13*21*34= 1113840
LCM(m)=185640
6*(log1113840/log185640) = 6*6.0468/5.2687= 6.886. Square
root is 2.6241 = Z(m)
This serves to show the method for low numbers.
As the values of m increase eventually Z(m) reaches pi.
