Yes, in a maze without cycles the left-hand rule will take you through every part of the maze, guaranteeing that you reach the goal. Of course in a maze with c

Yes, in a maze without cycles the left-hand rule will take you through every part of the maze, guaranteeing that you reach the goal. Of course in a maze with cycles you might still reach the goal, but it's not guaranteed. For example there's a cycle in Hampton Court Maze, but the left- and right-hand rules both get you to the goal from the entrance.