The name "CurvyBooru" was not taken.
When creating the site I was trying to come up with names for this booru with a friend, he came up with the name curveybooru.
I checked if that was the correct spelling of the word and it turned out both Curvy & Curvey are valid words that mean the same thing.
When I went to create the logo I made two versions for each word, in the end I prefered how CurveyBooru looked which finalized the name for good.
Thank you for posting some images on the booru. :)