This iconic hotel clings to the cliffs 300 feet above the Aegean, its cube-shaped rooms and public spaces connected by a series of bridges and Escher-esque stairways as it descends from the town of Oia above it. Nothing says Santorini like the ubiquitous aqua-blue infinity pool, and Katikies has three of them – all the better to take in the westward-facing sunset views. The rooms and suites, carved out of the hillside, are minimalist but inviting, nearly every surface painted or clothed in calming white. All of the rooms have a veranda, while some of the large suites have outdoor Jacuzzi tubs or plunge pools as well as outdoor seating areas. And upon check-in, guests are given a cell phone to summon 24/7 service from anywhere on the property. In addition to a poolside bar and restaurant serving light snacks, the champagne bar serves possibly the best sushi on the island, while the candle-lit rooftop restaurant – serving Greek and Anatolian cuisine – is about as romantic as it gets.