Can I publish a paper that doesn't have a specific question to answer?
I would suggest that you investigate those interesting properties further and then have a paper along the lines of "this structure has this useful property, more-so (or less-so) than these other structures." That is justify why someone would actually use this structure. 

Think about it from the editors' point of view. Why should this paper be published? If you can't provide an answer with a straight face then maybe you should wait until there is a purpose for it.