[TowerMadness] Stuck on "Logging in to Game Center" screen

Problem

Launching the game results in getting stuck on the screen that reads "Logging in to Game Center."

Solution

Game Center requires a working internet connection in order to log in.  If you have Game Center enabled while no active internet connection is enabled, under certain circumstances the game may attempt to log in indefinitely.  The easiest solution is to launch the Game Center app and Sign Out of Game Center before starting the game.  Also, please make sure you have the latest iOS software update for your device to ensure optimal behavior with Game Center.