The naturist beach and the camping beach of Antiparos town both overlook the island of Diplo. It takes about ten minutes to get there walking through the sea. It's not so hard, because the sea isn't very deep in the bay there. Diplo is only a very small island, with some small beaches and I think only one house on it. The island is uninhabited.
Rematonisi is the only small inhabited island surrounding Antiparos. It's privately owned by someone called Goulandry, and it comes with nice houses, palmtrees and some nice beaches. I'm jealous :(...
Just like Diplo the island of Rematonisi is situated between Paros and Antiparos and if you take the small ferry in Pounta (on Paros) to Antiparos Town you can clearly see it.