The island of Jan Mayen sits several hundred miles north of Iceland, a remote and inaccessible place where tourist numbers are strictly limited. Towering Mount Beerenburg is the world’s northernmost active volcano, and there is no human settlement except for a very lonely Norwegian weather station.

Ísafjörður is the largest town in Iceland’s wild Westfjords, dramatically located on a spit of sand hemmed in by mountains on three sides. The town itself is fairly low key, and the main attraction is exploring the surrounding landscapes, such as the spectacular Hornstrandir Peninsula.

The spectacular Prince Christian Sound provides a protected passage for ships rounding the southern tip of Greenland, at times narrowing to just 1,500 feet across. Waterfalls cascade down the rugged mountain sides, and you can often spot whales and seals amongst the icebergs.

The steep sides of Tasermiut Fjord and its mountainous surroundings attract climbers and trekkers from around the world, while down on the water you can explore the fjord by kayak. Tasermiut is also close to Nanortalik, the southernmost major settlement in Greenland.

Qaqortoq is southern Greenland’s largest town, though with just 3,000 inhabitants it’s hardly crowded. A trip to the nearby hot springs at Uunartoq is recommended; relaxing in the 38°C water and watching icebergs drift across the bay is quite something.

The sheep farming settlement of Igaliku is home to fewer than 30 permanent residents, in a picturesque spot surrounded by mountains in the south of Greenland. The village is notable for its Norse ruins and sandstone architecture, quite different to the wooden houses you see elsewhere in Greenland.

The famous Norse explorer Erik the Red chose the area around Narsaq to establish his first settlements in Greenland, and you can still see Norse ruins dating back over 1,000 years. You can learn more at the town’s museum, which also includes exhibits on kayaks and traditional clothing.