The public meetings of the volatile Chicago City Council make great theater for political junkies. The council meets in a massive building that takes up an entire city block, encompassing both City Hall and the County Building. (You can't miss it: Its columns are probably the most massive of any city building -- 75 ft. high and crowned by Corinthian capitals the height of an entire floor.) Although politics aren't quite as colorful under Mayor Richard M. Daley as they were under his dad, when a hot-button issue is being debated, factions can still get down and dirty, and the political posturing of the 50 aldermen (the name given to the city council members) can make for the best kind of theatrics. Call ahead to find out when the council is in session. City Hall tours also can be arranged for groups; call to make a reservation (tel. 312/744-9617). Allow 1 hour.