The Golden Ratio has fascinated intellectuals of diverse interests for at least 2,400 years. Ancient Greek mathematicians first studied what we now call the Golden Ratio because of its frequent appearance in geometry. The ratio is important in the geometry of regular pentagrams and pentagons. The Greeks usually attributed discovery of the ratio to Pythagoras or his followers.
   The regular pentagram, which has a regular pentagon inscribed within it, was the Pythagoreans’ symbol.