In 1858, Sylvester Marsh petitioned the state legislature for permission to build a steam railway up Mt. Washington. A politico retorted that he'd have better luck building a railroad to the moon. But 11 years later, the Mount Washington Cog Railway chugged its way up to the summit along a 3-mile track on the west side of the mountain. Today it's one of the state's most beloved attractions—a thrill in either direction. You'll find a small museum about the cog rail at the base. The train runs from May until early December, with varying departure times. A full trip ($64) is three hours including one hour at the summit.