The largest, most interesting and most populated of the islets north and east of Pátmos, LIPSÍ also has the most significant tourist trade. Returning regulars make showing up in peak season without reservations unwise. During quieter months, however, Lipsí still provides an idyllic halt, its sleepy pace almost making plausible a dubious link with Calypso, the nymph who held Odysseus in thrall. Once a dependency of the monastery on Pátmos, Lipsí is still conspicuously sown with blue-domed churches. Deep wells water small farms and vineyards, but there’s only one flowing spring, and although plenty of livestock can be seen, the non-tourist economy is far from thriving.