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DPChallenge Forums >> Photography Discussion >> Rule of thirds, golden mean and photograph size
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12/15/2002 03:42:19 AM · #1
I assume everyone here knows about the rule of thirds. Most people probably know about the Golden Mean - the rationale behind it. The famed ratio, first employed by ancient Greeks, divides 1 onto (approximately) 0.618 and 0.382. This of course is quite far from accurate division into "thirds" - that would be 0.666 and 0.333, but usually the difference is small enough not to worry about.

Nevertheless, out of curiosity, here's the difference:

(image divided into thirds)

Here it is, the familiar and reassuring Rule of Thirds.


(image divided according to the Golden Mean)

And this monstrosity is the genuine Greek formula.


As you see, there IS a difference. Note how in the latter picture the recommended place for objects is closer to the center of the image. There probably is something to it.

The golden mean wasn't used just to divide things into parts, however. It was also used to create proportions between sides of rectangles (such as walls of buildings). However, using the golden mean as photo format wasn't possible here - until recently, when the rules were changed. Now it is possible, so perhaps someone should try it.

A rectangle defined by the golden mean is a bit 'thinner' than the usual 640x480 (or simply 4x3) format. For comparison, here're both variants:

(a regular 4x3 rectangle, like a 640x480 photo)




(a rectangle defined by the golden mean)


If you want to use the latter format, crop your images to 640x396 (or 396x640).
12/15/2002 06:14:53 AM · #2
Learn something new every day. I had no idea what the golden mean was. Gotta start buying those fancy photography books. :) Thanks Lament.
12/15/2002 08:58:17 AM · #3
I've been wondering about this rules of thirds and all. Why are photographs oblong instead of square? Why is the "landscape" view preferred? Is it because we have two eyes so our field of view, as we look at the world is sort of like that. So we fell a photo looks more comfortable to us in those proportions? Or are we just accustomed to it? Is it Biology or Culture. ANd could someone post the title of that book again. Something like Art and Seeing or Vision and Art?
12/15/2002 09:10:06 AM · #4
Originally posted by Jacko:

Learn something new every day. I had no idea what the golden mean was. Gotta start buying those fancy photography books. :) Thanks Lament.


It is a strange natural number like pi.
I believe that it is the only number where

1/x=1+x

works.

When you want to check that, first determine the gm by (-1+ root out of 5)/2.

Message edited by author 2002-12-15 09:12:44.
12/15/2002 01:40:55 PM · #5
Hooray! Mathematics is woven into casual conversation, and people are receptive!
12/15/2002 02:02:26 PM · #6
Some of you might have seen The Face, a TLC special hosted by John Cleese and Liz Hurley. There's a really good article on the golden ratio, as applied to beauty, here:

The Face

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