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December 08, 2005

Check my math?

Melvil Dewey designed the modern library catalog card, sizing it at 7.5 x 12.5 cm. As far as I can tell, that makes it a Golden Rectangle (AKA the Golden Mean), but I have never ever ever gotten a math problem right. Anyone care to check my math? Thanks! [Tags: EverythingIsMiscellaneous MelvilDewey libraries]

Posted by D. Weinberger at December 8, 2005 01:05 PM


Comments

It's very close. The golden ratio is: 1.618...

7.5 x 12.5 cm is the same proportions as 3" X 5", which ratio is: 1.666...

I've heard people say that 3x5 cards are golden rectangles.

Posted by: Jay Fienberg | December 8, 2005 01:19 PM


But the Golden Ratio may not be quite what it's cracked up to be.

Posted by: Michael Shook [TypeKey Profile Page] | December 8, 2005 02:51 PM


Well, I'm not sure that's close enough.

We have 12.5 / 7.5 = 1.666...

and to play the game out, the rectangle left after you remove the 7.5 by 7.5 square should have the same proportions, but that's

7.5 / 5 = 1.555

To get there completely, you want 12.135 by 7.5 (4.85" by 3)

or 12.5 by 7.725 (5" by 3.09") which seems sorta-kinda close.

Posted by: orcmid | December 8, 2005 05:42 PM


I just ran across reference to the "Golden Ratio" while hunting down something entirely different.

The Optima font was popular on the Xerox Star and its descendents, and it was a common font for Interpress laser printers. I did not know about its commemorative use until just now: http://typophile.com/wiki/Optima

Posted by: orcmid | December 8, 2005 09:08 PM


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