what are 'golden ratios'?

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T w o space n u m b e r s space a r e space i n space g o l d e n space r a t i o space i f space t h e space r a t i o space b e t w e e n space t w o space n u m b e r s space i s space s a m e space a s space t h e space r a t i o space o f space t h e i r space s u m space t o space t h e space l a r g e r space o f space t h e space t w o space n u m b e r s. L e t space a space a n d space b space a r e space t w o space n u m b e r s comma space s u c h space t h a t space a greater than b T h e n space a space a n d space b space a r e space i n space g o l d e n space r a t i o comma space i f a over b equals fraction numerator a plus b over denominator a end fraction I t space i s space r e p r e s e n t e d space b y space t h e space g r e e k space l e t t e r space phi space a n d space i t s space v a l u e space i s space 1.6180339887..... phi space i s space a n space i r r a t i o n a l space n u m b e r space a n d space i t s space d e c i m a l space p a r t space k e e p s space o n space g o i n g space w i t h space n o space p a t t e r n. I n space G r e e c e comma space m a n y space b u i l d i n g s space a n d space a r t w o r k s space h a v e space t h e space G o l d e n space R a t i o space i n space t h e m.