New Mexico State Capitol, Santa Fe

The State Capitol, built in 1966, is a unique round building with entrances at each of its cardinal points. They designed it to resemble the Zia sun symbol used on the state flag, which you'll notice if you ever get the chance to peek down on it. Right in the center of the rotunda, there's also a mosaic version of the state seal: a Mexican brown eagle holding onto a snake and shielded by the American bald eagle. And don't forget to crane your neck and marvel at the stained-glass skylight, sporting an intricate Indian basket-weave pattern.

But the Roundhouse, as folks call it, isn't just about looks. It's got a hidden gem: a sweet art collection that doesn't cost a dime to check out, with pieces from some of the state's top artists. Paintings, photographs, you name it—every nook and cranny is dripping with creativity. Catch some culture on every floor, including the senate balcony and the swanky Governor's Gallery up on the fourth floor.

When the legislators are busy doing their legislating thing (which isn't all that often), you can pop in and watch the action from the galleries. Otherwise, take a stroll around the place and soak in the six and a half acres of garden, packed with over a hundred plant varieties and statues honoring the native Pueblo people.