jtb@eisx.UUCP (J. Burgess) (07/11/85)
*** On Golden Ratio *** (Sorry, I couldn't resist)
Re: golden ratio, Pascal's inverse triangle, etc.
The strange and wonderful (sqrt(5)-1)/2 DOES appear
in another strange and wonderful recursive series:
sqrt(1 + sqrt(1 + sqrt(1 + ...) ) )
= 1.618033....
= 1 + phi
(I think phi is he name the Geeks, oops I mean Greeks,
gave it, anyway).
Ponder That one!
John Burgess
--
John Burgess
ATT-IS Labs, So. Plainfield NJ (HP 1C-221)
{Action Central}!eisx!jtb
(201) 561-7100 x2481 (8-259-2481)franka@mmintl.UUCP (Frank Adams) (07/15/85)
In article <944@eisx.UUCP> jtb@eisx.UUCP (J. Burgess) writes: > >The strange and wonderful (sqrt(5)-1)/2 DOES appear >in another strange and wonderful recursive series: > >sqrt(1 + sqrt(1 + sqrt(1 + ...) ) ) > = 1.618033.... > = 1 + phi > >(I think phi is he name the Geeks, oops I mean Greeks, >gave it, anyway). Actually, phi is (sqrt(5)+1)/2 = 1.618033; (sqrt(5)-1)/2 is phi - 1.