In rented tiny bathroom how to store lots of towels in less space?

I live in a rented apartment and can't make any structural changes. It's so small I can reach both walls with my arms spread wide one way and and maybe twice that for the length. There is a bathtub, toilet and sink but no place to store anything. Right now we have some big plastic shelves to store our towels, wash clothes and a few other things. I really need something that doesn't extend so far from the wall but haven't found anything. Any ideas? My husband is a handyman and can build things.
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