Forever Living Products In Logan Square, Chicago On the Northwestern side of Chicago city, lies the public square and the historical neighborhood, Logan Square. It is one of 77 city-designated community areas of Chicago. Logan Square’s community area shares its boundaries with the North Branch of the Chicago River on the east, the Metra/Milwaukee District North Line railroad on the west, Diversey Parkway on the north, and Bloomingdale Avenue on the south. In Logan Square, you will find stately greystones, huge bungalows, and historical streets.