Directly east of the Old Town peninsula is Kolovare, a genteel district of beachside villas. Kolovare's seafront is the old town beach as well, and a popular place to spend free time. You can walk all the way along the beatifically-named coast path (Karma) to the promontory at Punta Bajlo and the adjoining islet Sveti Klement, a former leper colony that is now a bathing spot (eeew!) The way is tree-lined, so shady by day, and punctuated by cafes. Near the beginning of the walk is the Fontana, an attractive 16th century well with a cupola, built by the Venetians for use by their naval fleets.