Main Question or Discussion Point
what is the history of it and how is it different from maclaurin and taylor series
There is no evidence to support the assertion that phi, the golden ratio, is important in greek architecture, or anywhere else, for non-mathematical reasons. Indeed, there are many elegant rebuttals of all the abuses of phi that exist. It does occur in nature for very good and well understood reasons (it has the 'slowest' converging rational approximation, in a sense that can be made precise), but none that supports any suggestion that is aesthetically pleasing.Oh, the Parthenon too, but hey, that was one of many achievements set by the Greeks. Those Greeks...
Of what? The difference between Fibonnacci series and power series?please give a simple explanation