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Subject: 
Re: Why 5 to 6?
Newsgroups: 
lugnet.general
Date: 
Wed, 4 Aug 1999 02:59:29 GMT
Reply-To: 
JOHNNEAL@USWEST.stopspammersNET
Viewed: 
1400 times
  
This is fascinating stuff, and although I am too lazy to appreciate the math:-p,
I found a site that graphically depicts a golden rectangle at work:
http://www.vashti.net/mceinc/goldsqre.htm

Now *that's* some weird wild stuff;-)

-John

Robert Munafo wrote:

Well, as you discovered, 5:6 isn't close to the Golden Ratio, but it's still a
good idea. Perhaps you were thinking of 10:6, the aspect ratio of the "end"
face of a 2x4 brick, which is fairly close to the Golden Ratio.

In lugnet.general, David Leese writes:
I know it's not the answer you were expecting, but 5:6 is close
to the 'golden ratio' used by the Greeks/Romans in their architecture.
They discovered/deduced that the ratio of 1:1.6 has a certain
mathematical beauty (I *wish* I could remember the derivation);

The derivation is:

  1 + phi = 1 / phi

where "phi" is the Golden Ratio. This has the effect that if you take a Golden
rectangle and remove a square, the remaining part is a smaller Golden
rectangle.

and 1/1.6 = 0.625 while 5/6 = 0.833.  I know it doesn't look close,
but trust me, it's close enough to bring about a certain feel-good
factor.... ish.



Message has 1 Reply:
  Re: Why 5 to 6?
 
Thanks for posting that URL, John. When I got back into LEGO and began to realize the geometry, the first thing I did was to compare LEGO parts with the Golden Rectangle. Being an architect I was pleased to see that the LEGO geometry is indeed very (...) (25 years ago, 7-Aug-99, to lugnet.general)

Message is in Reply To:
  Re: Why 5 to 6?
 
(...) I know it's not the answer you were expecting, but 5:6 is close to the 'golden ratio' used by the Greeks/Romans in their architecture. They discovered/deduced that the ratio of 1:1.6 has a certain mathematical beauty (I *wish* I could remember (...) (25 years ago, 2-Aug-99, to lugnet.general)

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