While walking around in Fairmount Park, I saw this cat sitting in front of the historic
Chamounix Mansion. Although I walked to within two yards with my camera, the posture and the gaze stayed transfixed - I felt, disregarded...
I was asked why many photos I post are square and whether I actualy compose that way: I generally use prime lenses because they are smaller and lighter. Since it is not possible to exclude unwanted elements using prime lenses without walking in closer, I tend to initially visualize subjects within a square.
You might find
Square Scotland to be an interesting article about square composition.