Its possible to fold an ironed shirt to about A4 size without it looking messy when you unfold it. I can do it, my girlfriend used to work in a posh clothes shop which is where she learnt it, and then told me.
I can't just tell you though, its like secret code, I'd have to kill you.
Ask a girl in a posh clothes shop to show you. It is possible.
So that she then has to kill you???