Day 1 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.

Day 4 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 5 Isafjørdur, Iceland

Two colossal terraces of sheer rock stand either side of this extraordinarily located town - which rides a jutting spit onto an immensity of black fjord water. Surprisingly, considering the remoteness of its location and its compact size, Isafjordur is a modern and lively place to visit, offering a great choice of cafes and delicious restaurants – which are well stocked to impress visitors. The town is a perfectly located base for adventures amongst Iceland's fantastic wilderness - with skiing, hiking and water-sports popular pursuits among visitors.

Day 6 Seydisfjørdur, Iceland

Seyðisfjörður, a beautiful 19th-century Norwegian village on the east coast of Iceland, is regarded by many as one of Iceland's most picturesque towns, not only due to its impressive environment, but also because nowhere in Iceland has a community of old wooden buildings been preserved so well as here. Poet Matthías Johannessen called Seyðisfjörður a 'pearl enclosed in a shell'. The community owes its origins to foreign merchants, mainly Danes, who started trading in the fjord in the mid-19th century. But the crucial factor in the evolution of the village was the establishment of the Icelandic herring fishery by Norwegians in 1870-1900. The Norwegians built up a number of herring-fishing facilities, and in a matter of years the little community grew into a boom town. Today, about 800 people live in Seyðisfjörður. The local economy has long been based on the fisheries, while light industry also flourishes. Tourism is playing a growing role, as the picturesque town in its spectacular surroundings attracts more and more visitors. The car/passenger ferry Norrøna, which plies between continental Europe and Iceland every summer, docks at Seyðisfjörður every Thursday. Seyðisfjörður has been a cosmopolitan community from its foundation, and the ferry service has contributed to ensuring that it remains so.

Day 7 Akureyri, Iceland

Akureyri, called the Capital of the North is the second largest urban area in Iceland, and a lively one at that. Hemmed by the 60-km (37-mile) long Eyjafjörður, Akureyri is sheltered from the ocean winds and embraced by mountains on three sides. Late 19th-century wooden houses impart a sense of history, and the twin spires of a modern Lutheran church rising on a green hill near the waterfront, provide a focal point. To the south of Akureyri is the pyramid-shape rhyolite mountain Súlur. Beyond it is Kerling, the highest peak in Eyjafjörður District.

Day 9 Lerwick, Shetland Islands, Scotland

Founded by Dutch fishermen in the 17th century, Lerwick today is a busy town and administrative center. Handsome stone buildings—known as lodberries—line the harbor; they provided loading bays for goods, some of them illegal. The town's twisting flagstone lanes and harbor once heaved with activity, and Lerwick is still an active port today. This is also where most visitors to Shetland dock, spilling out of cruise ships, allowing passengers to walk around the town.

Day 10 Loch Ness, Scotland

Day 11 Edinburgh, Scotland

Edinburgh is to London as poetry is to prose, as Charlotte Brontë once wrote. One of the world's stateliest cities and proudest capitals, it's built—like Rome—on seven hills, making it a striking backdrop for the ancient pageant of history. In a skyline of sheer drama, Edinburgh Castle watches over the capital city, frowning down on Princes Street's glamour and glitz. But despite its rich past, the city's famous festivals, excellent museums and galleries, as well as the modern Scottish Parliament, are reminders that Edinburgh has its feet firmly in the 21st century.Nearly everywhere in Edinburgh (the burgh is always pronounced burra in Scotland) there are spectacular buildings, whose Doric, Ionic, and Corinthian pillars add touches of neoclassical grandeur to the largely Presbyterian backdrop. Large gardens are a strong feature of central Edinburgh, where the city council is one of the most stridently conservationist in Europe. Arthur's Seat, a mountain of bright green and yellow furze, rears up behind the spires of the Old Town. This child-size mountain jutting 822 feet above its surroundings has steep slopes and little crags, like a miniature Highlands set down in the middle of the busy city. Appropriately, these theatrical elements match Edinburgh's character—after all, the city has been a stage that has seen its fair share of romance, violence, tragedy, and triumph.Modern Edinburgh has become a cultural capital, staging the Edinburgh International Festival and the Fringe Festival in every possible venue each August. The stunning Museum of Scotland complements the city's wealth of galleries and artsy hangouts. Add Edinburgh's growing reputation for food and nightlife and you have one of the world's most beguiling cities.Today the city is the second most important financial center in the United Kingdom, and the fifth most important in Europe. The city regularly is ranked near the top in quality-of-life surveys. Accordingly, New Town apartments on fashionable streets sell for considerable sums. In some senses the city is showy and materialistic, but Edinburgh still supports learned societies, some of which have their roots in the Scottish Enlightenment. The Royal Society of Edinburgh, for example, established in 1783 "for the advancement of learning and useful knowledge," remains an important forum for interdisciplinary activities.Even as Edinburgh moves through the 21st century, its tall guardian castle remains the focal point of the city and its venerable history. Take time to explore the streets—peopled by the spirits of Mary, Queen of Scots; Sir Walter Scott; and Robert Louis Stevenson—and pay your respects to the world's best-loved terrier, Greyfriars Bobby. In the evenings you can enjoy candlelit restaurants or a folk ceilidh (pronounced kay-lee, a traditional Scottish dance with music), though you should remember that you haven't earned your porridge until you've climbed Arthur's Seat. Should you wander around a corner, say, on George Street, you might see not an endless cityscape, but blue sea and a patchwork of fields. This is the county of Fife, beyond the inlet of the North Sea called the Firth of Forth—a reminder, like the mountains to the northwest that can be glimpsed from Edinburgh's highest points, that the rest of Scotland lies within easy reach.

Day 13 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.