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At least three new cultural spaces are turning heads this summer: 1) The new Jean Nouvel–designed Danmarks Radio Concert Hall of Copenhagen wears an electric blue sheath. Inside, its four venues of various sizes include digs for the Danish National Symphony Orchestra. 2) In May, the massive Modern Wing of the Art Institute of Chicago opened to the public. Renzo Piano designed the glass-and-limestone structure to house the museum’s modern and contemporary collections. 3) Winding describes both Zaha Hadid’s futuristic design of the MAXXI in Rome and its prolonged gestation. And now Italy has its first national museum of contemporary art and architecture at last.