Nestled in the vaulting Austrian Alps, the medieval city of Innsbruck is an outdoors paradise. Twice home to the Winter Olympics, the area packs in nine ski areas, plus scores of trails primed for mountain biking and hiking in the summer. In winter, visitors can ski from Innsbruck’s 90 cable cars, take moonlight ski tours, or brave the nearly mile-long Olympic Bobsleigh run. In summer, the mountains are a hub for hikers, bikers, runners, and climbers. The new Performance Center for Runners & Walkers has a 70-kilometer network of trails. The Nordkette Singletrail and Hungerburg Trail cater to the extreme cycling set with one of Europe’s most difficult downhill descents that drops right into town. Riders craving a mellow experience can cycle on the 200-kilometer Inn Valley path, which rolls past a number of Innsbruck’s spectacular palaces.