I brought a straw panama hat to Mexico, but I broke the crown somewhere along the way (I probably sat on it). So I left it with my sister, as a present for her pet rabbit, who had already evinced some interest by nibbling away a small part of the brim. And lo, one week later:
You can't see it from this angle, but there is also a sizable hole gnawed into the crown. And yes, that is a relaxed and recumbent bunny in the background.