Andy Resnick said:
Aesthetics can't be written as a rule. There is no universal standard of beauty.
The 'rule of thirds' is a guideline that produces images that appear to be well-balanced to the eye. There are many design guidelines: horizontal lines appear tranquil, diagonal lines produce a sense of motion and action.
http://www.yangsquare.com/wp-content/uploads/2008/03/metropolis2.jpg
Pay attention to the composition- the figures divide the frame into thirds, but there also a diagonal line connecting the line of sight between Rotwang and the robot- and more, that line runs parallel to the line of Rotwang's arm (and his hair). The inverted Pentagram behind Rotwang also introduces a compositional element- like a perverted halo.
The sum total is to produce an image that tells a story. Even without knowing anything about the movie, you can invent a story that relates the two figures.
I think people, generally, unless they haven’t held a camera before, or have really no idea what they like, tend to have some ability with composition. I think this is at least the standard of photographs shown at this forum. But, if not, then maybe the rule of thirds would help where there would otherwise be no structure to speak of.
As the rule of thirds is about one aspect of many aspects of composition, it is usually required to work with other aspects, and they with each other, etc. The paper I linked to attempted to isolate it and some other aspects, and didn’t go on to test the impact of more aspects. But as other aspects affect the success of composition, it would seem worth mentioning these when discussing composition.
I believe quite a number of photographers here seemingly consider many aspects of composition and seemingly show a familiarity with different ways these may be successfully used, beyond a more basic natural ability. With their understanding they are probably in a good position to judge whether or not rules in general, and rules about particular aspects of composition work for them in combination with other aspects, or not.
Andy explained how the rule of thirds worked for him. He explained his views and shared a small critique of a linked photo. There could be other aspects of composition in the photo that could have helped or masked the effects of the rule of thirds, but he was able to offer a reasonable explanation of how he finds it successful. I agree, I think it is successful and believe there are many things working well together.
But for those who are looking to improve on natural ability, concentrating on one aspect of composition could skew a natural feel, and without regard for other areas of composition, impact detrimentally on success. To my (possibly tainted) eye, such photos are amongst the least successful serious photos I believe I’ve seen as the whole of the composition together may not work. This was why I wondered if there was a reason why that rule was noteworthy, and also why it was linked to elsewhere regarding compositional advice, aside from the word of blogs, as, for me, it doesn’t seem to work very well without other considerations. I think Andy has offered a reasonable explanation for why he would use it, although, I still don’t believe it is good basic advice without taking other factors of composition into account.
I think in such cases it would be more successful to start with the consideration of various areas of composition and how they work together and can impact success. Then, broader rules could be considered with an understanding of how they can be used while retaining a feel for over-all compositional success. Then concerns about varied placement can be explored if desired.