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It may not make you take better images, but knowledge about composition rules definitely can make your taken images better.
I disagree. If you have to follow rules, you'll probably never understand why a good composition is good anyway. Try to just follow your own feelings instead.
Why wouldn't you use the golden equation in some of your images?
Because to me photography has nothing with rules or equations to do. The day I have to use some sort of overlaying lines to figure out if the composition is "good", I'll quit photography right away.
I think Makten always(?) posts uncropped (3:2) images.
Nope, I crop almost every photo I take. Partly because I hate 3:2 (leaning more towards 4:3) and partly because I tend to compose a tad "loose" at the shooting moment, just to be able to figure out the best framing afterwards. It's also very hard to get 100% straight lines in a small viewfinder, if that's what you're after.
That said, this is my best image from this week. As you can see, it's all about the straightness.
School by Martin Hertsius, on Flickr
The uncropped original looks like this:
As you might understand, it wasn't easy to get everything straight without a tripod and I only tripped the shutter once.