Despite its small size, you won’t be short of things to see and do in this diminutive but dramatic city. To get your bearings, take the elevator to the top of Hallgrímskirkja. This church, designed by famed Icelandic architect Gudjón Samuelsson is one of the most distinctive buildings in town. When you return to earth, visit the city’s other renowned building Harpa Concert Hall, located at the heart of Reykjavík's regenerated harbour – also the home of the Maritime Museum. Speaking of cultural spaces, tour the National Museum to learn the story of Iceland from past to present. The Reykjavík Art Museum houses an impressive contemporary collection including eye-catching pieces by Erró. And, of course, just 50 kilometres outside the city lies Thingvellir National Park, the site of Iceland’s original Viking parliament.

Considered one of Iceland’s most impressive, this thunderous waterfall in the Westfjords region gives the impression of a bridal veil as it spreads its tumbling waters down a series of ever- growing cascades. Dynjandi is one of the most photographed sights in Iceland. Walking up to it takes 15 minutes passing five smaller waterfalls. Nearby, Hrafnseyri is the birthplace of Jón Sigurdsson, 19th-century leader of the Icelandic Independence movement. The museum includes an Icelandic turf house.

Surrounded by fjords in the Westfjords region, Ísafjördur is a bustling fishing town in northwest Iceland with colourful wooden 18th- and 19th-century houses in the old town of Neskaupstadur. Ísafjördur was one of the largest fisheries in Iceland, but tourism has now taken over. Nearby is Sudavik, home to the Arctic Fox Centre. Iceland’s only mammal, the arctic fox lives on the lush tundra of Hornstrandir Nature Reserve - the northernmost peninsula in the Westfjords with two of Europe’s largest bird cliffs.

Island of Vigur is a real pearl of the Western Fjords. The second-largest island in the fjord, measuring two kilometres by 400 metres, it’s a significant seabird colony, which is home to arctic terns, puffins, black guillemots and eider ducks. As one of only two inhabited islands in the fjord, Vigur is also the site of a single farm, which has been in the same family for generations. During your time on the island, you might see Iceland’s only windmill, the country’s smallest post office and oldest boat, which was built more than 200 years ago and in regular use until relatively recently.

Grímsey is a remote island located 40km off Iceland’s north coast. Many people travel here for the purpose of setting foot in the Arctic Circle, the only place in Iceland where you can do so. The island is also home to fewer than 100 people, but over one million seabirds. Birdlife thrives here thanks to the lack of egg predation (there are no rats or mice on the island) and the rich, well-stocked surrounding seas. Grímsey has one of Iceland’s largest tern nesting sites and largest puffin colonies.

Hrisey Island is a small island in the Eyjafjordur fjord in northern Iceland. It is home to various wildlife, including puffins, seals, and whales. Hriseyjarfjall Mountain is the highest point and offers stunning views of the surrounding landscape.

Home to some 18,000 residents, Akureyri stands proud as the Land of Fire and Ice’s ‘Capital of the North’. It’s the gateway to some natural wonders including the Myvatn region, Dettifoss waterfall, Godafoss waterfall and Asbyrgi canyon. But before you rush off, take some time to explore: Iceland’s winsome second city is colourful, cosy and utterly enchanting – even the red traffic lights are cute. Instagrammers will adore heart-shaped stop signs. Enjoy the quaint harbourfront; climb the steps to the towering Akureyri Church; stroll around Lystigardurinn, the city’s Arctic botanical garden; visit the Laufás Turf Houses; get in the festive spirit early at the Christmas House (Jolahusid); admire the exhibits at the Akureyri Art Museum or the Hof cultural centre; or take a dip in the outdoor, geothermal swimming pool.

Regarded as east Island’s cultural hub, brightly painted wooden houses line Seyðisfjörður’s port. With a lively arts scene disproportionate to its small size, Seyðisfjörður has attracted many writers and artists over the years and also hosts an annual summer arts festival. Surrounded by incredible nature, the Skálanes nature reserve is a short distance from the town. The area covered by the reserve is known for its diverse wildlife with over 47 species of bird and over 150 plant species. Reindeer are also seen here, with seals and porpoises frequently spotted along the shores.

Home to fewer than 500 residents, the quiet fishing village of Djupivogur dates back to the Viking era. Despite its formidable origins, the village is better known these days for its unhurried pace of life. Djupivogur’s most famous artistic offering may be the first thing you notice as you disembark. The 34 large granite eggs that line the road along the bay are not easy to miss. The art installation, named ‘The Eggs at Merry Bay’ (Eggin í Gleðivík in Icelandic) represents the 34 species of birds that nest locally. Immerse yourself further into the wild on a trip to nearby Vatnajökull National Park. Covering 14% of Iceland’s land mass, this vast area is home to giant ice caps, thundering glacial rivers, grumbling active volcanoes and a host of other geological wonders. Take a guided tour out onto Vatnajökull Glacier, Europe’s largest ice cap, and experience the glory of true Icelandic wilderness for yourself.

A small 13-kilometre square island off the south coast of Iceland, Heimaey’s history has been surprisingly eventful. From the escapee 16th century Irish slaves to the reaches of the Ottoman Empire and subsequent pirate invasion, the island was a place of danger and terror until the mid 18th century. Once these events subsided, for 300 years the people of Heimaey assumed that their days of action were a thing of the past. That was until 1973 when residents awoke to a devastating volcanic eruption. Fissures over a kilometre wide snaked through the town, the lava engulfing over 400 homes. Remarkably, only one person is thought to have died as a result of the eruption, with a quick rescue response ensuring that the 5,300 residents were swiftly evacuated to the safety of the mainland. Evidence of this recent geological activity can be seen just about everywhere on Heimaey and is the focus of the fascinating Eldheimar museum.

Your cruise ends in Reykjavík. Make sure there is sufficient time before you begin your journey home to explore this diminutive but dramatic capital city. Despite its small size, you won’t be short of things to see and do. To get your bearings, take the elevator to the top of Hallgrímskirkja. This church, designed by famed Icelandic architect Gudjón Samuelsson is one of the most distinctive buildings in town. When you return to earth, visit the city’s other renowned building Harpa Concert Hall, located at the heart of Reykjavík's regenerated harbour – also the home of the Maritime Museum. Speaking of cultural spaces, tour the National Museum to learn the story of Iceland from past to present. The Reykjavík Art Museum houses an impressive contemporary collection including eye-catching pieces by Erró. And, of course, just 50 kilometres outside the city lies Thingvellir National Park, the site of Iceland’s original Viking parliament.