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.

The remote South Pacific island of Pitcairn was settled by a party of British sailors and Tahitians following the famous mutiny on the HMS Bounty in 1789, and their descendants still live on the island. The tiny capital, Adamstown, has a population of around 50 people.

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.

Situated 400 miles off the coast of mainland Chile, Robinson Crusoe Island is part of the Juan Fernández archipelago, a UNESCO World Biosphere Reserve. The sailor Alexander Selkirk was marooned here from 1704 to 1709, and his story is thought to have inspired Daniel Defoe’s famous novel.

Chile’s cosmopolitan capital is a smart, sophisticated place, where life plays out against the stunning backdrop of the snow-capped Andean mountains. Santiago’s moneyed elite congregate in the upmarket districts of the barrio alto, while the Centro buzzes with commerce and culture, home to museums, theatres and shopping malls.

Puerto Montt is the capital of the Chilean Lake District, spread out around a wide bay against a backdrop of snow-capped volcanoes. This wild region offers a host of outdoor activities, including mountain hikes, kayaking, white water rafting, fishing, zip lining and cycling.

The little fishing village of Caleta Tortel hugs the base of a mountain, perched above turquoise waters fed by glaciers. There are no cars or horses in Caleta Tortel - instead, the piers and houses are connected together by a remarkable network of wooden boardwalks.

The remote El Brujo Glacier is situated at the end of Asia Fjord, a branch of the Peel Fjord in Chile’s spectacular Bernardo O’Higgins National Park. As you cruise along the channel you’ll see waterfalls cascading down from the snowy mountains, while the water's surface is scattered with chunks of ice.

The weather-beaten city of Punta Arenas is a laid back and welcoming place, in spite of its inhospitable location on the shores of the Strait of Magellan. Nearby attractions include penguin colonies and the dramatic scenery of Torres del Paine National Park, while beyond the horizon lie the frozen wastes of Antarctica.

Antarctica is the world’s last great wilderness, an alien landscape of snow-covered mountains, jagged icebergs and extraordinary wildlife. Visiting at the beginning of the cruise season in October or November means bigger icebergs and pristine snowy landscapes, along with the chance to see breeding elephant seals. There may still be sea ice around the Antarctic Peninsula, and temperatures are cold.

Perched on the ragged southern edge of Argentina, where the snow-capped Andes fall away into the churning sea, Ushuaia has a frontier town feel to it, and serves as the base for expeditions into the icy waters of Antarctica.