What's the weirdest word or turn of phrase you've used recently?
Inspired by something I said last night when complaining about an achievement at work and the only way I could think to describe it was "pure frippery."
Dog-eared means that a corner got folded down (making a diagonal) on a page as a bookmark. A dog-eared book isn't necessarily beat-up beyond the damage to the corners of pages. Catty-cornered or kitty-cornered is adjacent to something on the diagonal, i.e. not orthogonally next to it like up, down, left, or right. So there is an argument to be made for a loose (coincidental) connection between those ideas, but I don't think they come from the same roots.
I'm my area it's said "caddy corner", or you might hear the random old euphemistic "caddy-wampus" which means either "diagonal to reference position" or "all fucked up!"