Day 1 Reykjavík, Iceland

Sprawling Reykjavík, the nation's nerve center and government seat, is home to half the island's population. On a bay overlooked by proud Mt. Esja (pronounced eh-shyuh), with its ever-changing hues, Reykjavík presents a colorful sight, its concrete houses painted in light colors and topped by vibrant red, blue, and green roofs. In contrast to the almost treeless countryside, Reykjavík has many tall, native birches, rowans, and willows, as well as imported aspen, pines, and spruces.Reykjavík's name comes from the Icelandic words for smoke, reykur, and bay, vík. In AD 874, Norseman Ingólfur Arnarson saw Iceland rising out of the misty sea and came ashore at a bay eerily shrouded with plumes of steam from nearby hot springs. Today most of the houses in Reykjavík are heated by near-boiling water from the hot springs. Natural heating avoids air pollution; there's no smoke around. You may notice, however, that the hot water brings a slight sulfur smell to the bathroom.Prices are easily on a par with other major European cities. A practical option is to purchase a Reykjavík City Card at the Tourist Information Center or at the Reykjavík Youth Hostel. This card permits unlimited bus usage and admission to any of the city's seven pools, the Family Park and Zoo, and city museums. The cards are valid for one (ISK 3,300), two (ISK 4,400), or three days (ISK 4,900), and they pay for themselves after three or four uses a day. Even lacking the City Card, paying admission (ISK 500, or ISK 250 for seniors and people with disabilities) to one of the city art museums (Hafnarhús, Kjarvalsstaðir, or Ásmundarsafn) gets you free same-day admission to the other two.

Day 6 Tromsø, Norway

With its centre located on the island of Tromsø, the municipality of Tromsø is more than five times the size of Norway's capital, Oslo, and is the world's northernmost university city. Lying 200 miles inside the Arctic Circle, it is known as the 'Gateway to the Arctic' because it was used as a starting point for hunters looking for Arctic foxes, polar bears and seals. In the 19th century it was a base for explorers on Arctic expeditions – a history that is remembered in the city's Polar Museum, which you can visit on an excursion. Also commemorated in the area is the history of Norway's indigenous people, the Sami. Visitors can learn about the traditions, heritage and modern preservation of the Sami culture at the Tromsø Museum. Nowadays, Tromsø is a charming mix of old and new, with wooden buildings sitting alongside contemporary architecture such as the impressive glacier-like Arctic Cathedral, which features one of the largest stained glass windows in Europe. Looking down on the city is Mount Storsteinen, and a cable car runs to the top, giving wonderful views over the surrounding countryside of forested peaks and reindeer pastures.