One important aspect that can be taken into consideration in photography is the use of lines. They can have various effects on the picture and the viewer as well: either by leading the eyes of the viewer or by creating patterns and shapes.
Another advantage of noticing lines is in the rewarding nature of minimalist pictures. My favourite topic in this area is the various kinds of windows and doors, of which we have plenty in my village. Also in some situations there is another detail that helps the nice parallel effect, like a rooftop or part of the fence. I have put the last picture here because the otherwise straight line of the windows and the wall is refracted by the broken pieces and the crumbled wall.
You can find some great minimalist (and not only) photographs by Steve Johnson here.