In autumn, view the evidence in a drive along the Kancamagus Highway. The mountainous state’s 9,304-square-mile triangle of land, which shares borders with Quebec, Maine, Massachusetts and Vermont, is equally famous for its residents’ fiercely independent attitudes. “Live free or die,” the phrase uttered by colonial general John Stark in the late 18th century and adopted as the state motto, still rings true today. The Granite State claims the highest peak in New England, 6,288-foot-high Mt. Washington. Travelocity. Expedia Travel.