The enigmatic moai statues of Rapa Nui (Easter Island) remain one of the world’s most intriguing archaeological mysteries. Descendants of the Polynesian settlers who carved them still live here, though these days the island belongs to Chile, despite being separated from the mainland by over 2,000 miles of Pacific Ocean.

Nuku Hiva is the largest of the Marquesas, an island of towering basalt peaks, cliffs and canyons, carpeted with verdant jungle. From the pretty little capital, Taiohae, you can strike out into the unspoilt countryside in search of the island’s many archaeological sites.

Hiva Oa is the last resting place of the artist Paul Gauguin, who spent the final years of his life here, and the Gauguin museum in Atuona documents his time in the South Pacific. This beautiful island is also home to some evocative archaeological sites, including ancient petroglyphs and stone tiki statues.

The Fakarava atoll surrounds a deep lagoon in the west of the Tuamotu island group, scarcely populated and home to a host of rare wildlife. The entire atoll has been declared a UNESCO biosphere reserve, and the shallow coastal waters make for excellent snorkelling.

Bora Bora is the very definition of idyllic, a diminutive Polynesian island dominated by rainforest-clad volcanic peaks, overlooking an electric blue lagoon ringed by coral reefs. The beaches and over-water bungalows are particularly popular with honeymooners, and the clear waters of the lagoon are perfect for snorkelling.