PHI

Purpose:

Macro. Returns φ, the "golden mean" or "golden ratio".

Syntax:

PHI

Expansion:

1.61803398874989484820

Remarks:

image\phi01.gif

 

This constant can be derived by solving the following set of equations:

 

if

a/b = b/(a + b)

and

a = 1

then

b = φ

 

PHI is the positive root of the polynomial x2 - x - 1.

 

PHI is particularly useful if you happen to be an ancient Greek.

See Also:

ACSCH

DEG

GAMM

INF

LN

PI

POLYROOT

ROOTS