Refinding Phi - Introduction

Now that we have a new Calculator at http://web2.0calc.com  I'd like to have a look at Phi with maximum decimal places.  Just checking;  just curious.  Going back to first principles.





****************more work is in progress.  Part 1 is posted 13/6/2013.

Addition to Introduction.   7/7/2013

Please look at the basic data in Wikipedia and on Dr Ron Knott’s website re Phi.

It involves a quadratic equation containing  the square root of 5 .   I don’t know why this has been chosen.

∅² = ∅ + 1 is the equation.

Dr Knott describes how mathematicians have calculated Phi to 1500,000,000 places.  Then in 1996 it was done to 10 million places.  The record was in 2008 to 10,000 million places.  He noted which program was used and how long it took.  I shall not repeat that information here in this little blog.   Please have a look at his Silver Series. And Lucas Numbers.  Amazing.

Also see http://www.goldennumber.net for much info on Phi. 

Particularly check out ELFRAD.

 I prefer to study it all in my own simple way.