That corncob looking building is one of the towers at Marina City. There are two, but I was at an angle where the other is right behind. Marina City was built in 1964. It is one of the first mixed-used residential/commercial buildling complexes in the country.
It has the two towers, an auditorium building that used to be a movie theater but is now the House of Blues, and a mid-rise hotel building that used to be Marina City's office building and is now the Sax Hotel. There used to be a skating rink, but that was demolished to accommodate restaurants on the river. Oh, and, of course, underneath the towers is the marina :-)
At the time the towers were built, they were the two tallest residential buildings and the tallest reinforced concrete structures in the world. Marina City was also the first urban post-war, high-rise residentnial complex in the country.
Finally a clear day that was in the 60's. Woo Hoo!