About 70 miles north of Aalborg, Grenen Skagen (aka the Skagen sandbar) is the northernmost point of Denmark: a place where the Baltic and North Seas collide (literally). You could, of course, opt to visit this distinctive destination via motorized transport if you're in a rush to enjoy all the hiking and swimming to be had along its beaches and surf. Then again, for those who prefer the road less traveled by, it may be worth a cyclicng adventure from Aalborg using the signage from the world's first bike-route system.
Aside from chilly waters, plenty of bike trails, a bustling seaside town (Skagen) and a cool lighthouse, you'll also have the opportunity to tromp around the Rabjerg Mile: Europe's largest migrating sand dune. Just be sure to pack a few sweaters, especially during the winter, as (contrary to popular belief) January's in northern Denmark aren't particularly hospitable to bare skin.
Note:The light here in northern Denmark has been the source of inspiration for artists for generations. See it for yourself!