It’s not often that a building is as cutting edge as what it houses, but that’s the case with Boston’s Institute of Contemporary Art. Set on Boston Harbor, the 65,000-square-foot cantilevered structure boasts amazing views, perched as it is right at the water’s edge with its enormous glass windows. The museum, founded in 1936, has hosted exhibits by the likes of Andy Warhol and Roy Lichtenstein over the years and, more recently, by artists such as Tara Donovan and Shepard Fairey. Since 2000, the museum has been building a permanent collection which rotates about once a year. Visitors can also enjoy a variety of multimedia art, videos, installations and performing arts programs.