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golden mean

created by JudyT

(thing) by consuela (5.4 y) (print)   ?   (I like it!) Tue Feb 12 2002 at 4:02:57

Created by Aristotle.

Quote:
"Moral virtue is the appropriate location between two extremes."

Practice:
Locate the two extremes; then find the suitable ground between the two.


aha, a nodeshell!


(thing) by surturz (1.3 wk) (print)   ?   (I like it!) Tue Mar 26 2002 at 3:09:41

The Golden Mean (aka the Golden Section) is an irrational number like Pi, or e (not the drug you dance-music crazed goose! e, the base of all natural logarithms).

It is given the greek symbol Phi (ANSI character 237 - looks like a circle with a slash through it). Its value is sqrt(1.25) + 0.5, or approximately 1.61803398875

If you take a square, draw a line from the middle of one of its sides to an opposite corner, and rotate that line so it is in line with the bisected side, and use that to make a rectangle, the ratio of the long side to the short side is the Golden Mean.

The classical Greeks said that objects fashioned using this proportion were more pleasing to the eye. This is probably because Phi occurs in nature - in seashell spirals, packed objects, etc. Indeed, the Greeks used the Golden Section a lot in their architecture.

Among other interesting features of the Golden Section is that its reciprocal is 0.61803398875, or Phi minus one. This value is given the symbol phi (lower case "p").


printable version
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