The Apple Inc. co-founder has managed to transform his less-than-graceful moves on ABC's "Dancing With the Stars" into enough votes to keep hope alive on the competitive ballroom-dance show.

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Named after the mythical island Antilia, the new mansion reportedly features at least one swimming pool, a health club with gym and dance studio, ballroom, guestrooms and 50-seat cinema.

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Around the time of his 25th birthday, Hines was asked to lead a full-size dance band at the Grand Terrace, a new ballroom being launched in Chicago, and there he would remain in residence (except for the occasional tour) until the end of the big-band era in 1945.

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You can take in a movie at the Deco-style Cathay Theatre, completed in the early 1930s, which has a neon-lit spire towering over its marquee, or dance in the ballroom of the Paramount dance hall, which opened at about the same time.

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