Re: A3

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From: Kennedy McEwen <rkm@kennedym.demon.co.uk>
Subject: Re: A3

All very true Tony except that the ratio of sides on the A-Series (and
the B-Series, for that matter) is not based on the "Golden Mean", also
known as the Golden Section.  As you correctly note, the ratio of the
sides in these series is the square root of two - thus ensuring that the
aspect ratio remains unchanged when the sheet is divided in half along
the long side, but that is NOT a property of the Golden Mean, which is a
much higher aspect ratio.

The Golden Mean is derived from the convergence of the ratio of
successive terms in the Fibonacci Series, and never approaches the
square root of two, the difference between the two is very significant.
The Fibonacci Series is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89... etc.
each term being the sum of the previous two.  The ratio of successive
terms is 1, 2, 1.5, 1.6, 1.625, 1.61538... which eventually converges on
the Golden Mean of 1.61803398874989, which is significantly different
from the square root of two.
- --
Kennedy

***********************

Well, I'll say this. Not having the technical background to know whether or
not any of this is true, I will submit that I do think it is fact and I am
impressed with the breadth and depth of knowledge here on the list regarding
this subject and many others.

Warmest Regards,
Carl Grohs, Jr.    Design Directions    Eden, NC

Epson FAQ Site:
http://home.att.net/~arwomack01/
Epson List Archives:
http://groups.yahoo.com/group/epson-inkjet/



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