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 2 Heimaey Island, Iceland

It's hard to imagine, as you stroll Heimaey's idyllic streets of white wooden houses, that this island was literally torn apart by a spectacular volcanic eruption, just over 40 years ago. The fact that you can visit incredible Heimaey at all is something of a miracle – because the oozing lava of the Eldfell volcano threatened to seal the harbour off completely. Fortunately, its advance was halted by gallons of seawater, pumped onto it by the plucky islanders, who saved their fishing industry in the process. Iceland's famous for its scenery, and the huge castles of volcanic rock that rise out of the sea's waves here are some of the country's most dramatic.

Day 3 Djúpivogur, Iceland

It may be surrounded by pulse-raising volcanic scenery, boast extraordinary wildlife, and sit on a dramatic, jutting fjord - but it's fair to say Djúpivogur likes to take things slow. In fact, Djúpivogur relishes its peace and quiet so much that it's won recognition as a 'Cittaslow' - a Slow City. So prepare to take a new, leisurely look around, as you relax into the breathtaking natural glory of Iceland, and explore this unique location - filled with folklore, fabulous food and fantastic fjords.

Day 5 Portree, Isle of Skye, Scotland

The Isle of Skye ranks near the top of most visitors' priority lists: the romance of Prince Charles Edward Stuart, known as Bonnie Prince Charlie, combined with the misty Cuillin Hills and their proximity to the mainland all contribute to its popularity. Today Skye remains mysterious and mountainous, an island of sunsets that linger brilliantly until late at night and of beautiful, soft mists. Much photographed are the really old crofts, one or two of which are still inhabited, with their thick stone walls and thatch roofs. Orientation on Skye is easy: follow the only roads around the loops on the northern part of the island and enjoy the road running the length of the Sleat Peninsula in southern Skye, taking the loop roads that exit to the north and south as you please. There are some stretches of single-lane road, but none poses a problem.

Day 6 Kirkwall, Orkney Islands, Scotland

In bustling Kirkwall, the main town on Orkney, there's plenty to see in the narrow, winding streets extending from the harbor. The cathedral and some museums are highlights.

Day 7 Queensferry, Scotland

Day 8 Queensferry, Scotland

Day 9 Newcastle upon Tyne, England

An urban city mixing culture, sophistication and heritage, Newcatle-upon-Tyne offers a range of activities and attractions. With more theatres per person than anywhere else in the UK, Newcastle has a wide range of arts and cultural attractions for visitors to enjoy, from the Theatre Royal – regional home to the Royal Shakespeare Company – to the famous Angel of the North.

Day 11 Amsterdam, Netherlands

Amsterdam combines the unrivaled beauty of the 17th-century Golden Age city center with plenty of museums and art of the highest order, not to mention a remarkably laid-back atmosphere. It all comes together to make this one of the world's most appealing and offbeat metropolises in the world. Built on a latticework of concentric canals like an aquatic rainbow, Amsterdam is known as the City of Canals—but it's no Venice, content to live on moonlight serenades and former glory. Quite the contrary: on nearly every street here you'll find old and new side by side—quiet corners where time seems to be holding its breath next to streets like neon-lit Kalverstraat, and Red Light ladies strutting by the city's oldest church. Indeed, Amsterdam has as many lovely facets as a 40-carat diamond polished by one of the city's gem cutters. It's certainly a metropolis, but a rather small and very accessible one. Locals tend to refer to it as a big village, albeit one that happens to pack the cultural wallop of a major world destination. There are scores of concerts every day, numerous museums, summertime festivals, and, of course, a legendary year-round party scene. It's pretty much impossible to resist Amsterdam's charms. With 7,000 registered monuments, most of which began as the residences and warehouses of humble merchants, set on 160 man-made canals, and traversed by 1,500 or so bridges, Amsterdam has the largest historical inner city in Europe. Its famous circle of waterways, the grachtengordel, was a 17th-century urban expansion plan for the rich and is a lasting testament to the city's Golden Age. This town is endearing because of its kinder, gentler nature—but a reputation for championing sex, drugs, and rock 'n' roll does not alone account for Amsterdam's being one of the most popular destinations in Europe: consider that within a single square mile the city harbors some of the greatest achievements in Western art, from Rembrandt to Van Gogh. Not to mention that this is one of Europe's great walking cities, with so many of its treasures in the untouted details: tiny alleyways barely visible on the map, hidden garden courtyards, shop windows, floating houseboats, hidden hofjes(courtyards with almshouses), sudden vistas of church spires, and gabled roofs that look like so many unframed paintings. And don't forget that the joy lies in details: elaborate gables and witty gable stones denoting the trade of a previous owner. Keep in mind that those XXX symbols you see all over town are not a mark of the city's triple-X reputation. They're part of Amsterdam's official coat of arms—three St. Andrew's crosses, believed to represent the three dangers that have traditionally plagued the city: flood, fire, and pestilence. The coat's motto ("Valiant, determined, compassionate") was introduced in 1947 by Queen Wilhelmina in remembrance of the 1941 February Strike in Amsterdam—the first time in Europe that non-Jewish people protested against the persecution of Jews by the Nazi regime.