Climb the 300 steps to Panagia Hozoviotissa

This is perhaps the most unusual monastery in the Aegean and one of the most significant sights on Amorgos. Impossibly tall and narrow, it seems painted onto the sheer rockface at first sight. In reality, it’s slotted into it. You’ll have to climb 300 steep steps, enter through a narrow door and make it up a further eight storeys, each one only 5 metres wide. When you reach the main 1,000-year-old church, adorned with Byzantine icons of the Virgin Mary, you’ll know it was worth the effort. The view is the best in Amorgos.

Become the star attraction at Agia Anna beach

A twisty road leads to the beach at Agia Anna. With its endless view of the sea, you’ll know how Luc Besson’s film The Big Blue got its name and became synonymous with Amorgos and Greece. The incredibly clear water and rocks to dive from make Agia Anna one of the most enticing swimming spots in the Cyclades. Now, you’ll be the star.

Explore an island made for “walking at a slow pace”

The phrase belongs to archaeologist Lila Maragkou, who walked all over Amorgos for years, turning up archaeological treasures as she went. What should you look for as you do your own exploring? The remains of three ancient city-states, Arkesini, Minoa and Aigiali; women making fava (yellow split-pea dip), a Cycladic speciality; diviners searching for underground water; locals playing boules; Ai Giorgis tou Varsamiti, where the “chattering brook” was thought to foretell the future; and the no-man’s-land at Krikelos, riddled with mines and gullies. The longer the search, the greater the reward.

Enjoy what the pirates missed in Hora

Hidden from pirates’ eyes, the Hora and castle of Amorgos reflect their Byzantine and Venetian past. So for a memorable view of the Aegean, make sure you stroll all the way up to the castle. Below you, the lovely Voreina quarter is full of houses with wells and olive presses. You’ll want to investigate the abandoned windmills at Troulos, the shops and cafes at Platystenos, and relax in Kalogerikos Milos (Monk’s Mill Square), a veritable balcony over the Aegean.

Pop into Amorgos’ two harbours, Aigiali or Katapola

Which of Amorgos’ two harbours will you choose as the ideal backdrop for your holiday? The music and lounge bars on the sandy beach of Lakki at Aigiali, or family-friendly Katapola with its traditional cafes and long walks along the shore? Your choice.