Attaching Carpet to a Cat Scratching Post?

This is my first attempt at a making a cat tower. I have a carpet remnant, but I am unsure how to attach it. Looking at commercial models there doesn't seem to be any staples. Is it simply glued on (what kind of glue) or are staples used and then removed? Bending the carpet around a square post is a little challenging. Any help or suggestions would be appreciated. Thank you.