A reconfigurable maze is a small set of modular components, called tiles, that can be assembled into a variety of distinct mazes. Although the idea of a reconfigurable maze is simple enough to articulate, there are some difficult mathematical challenges to overcome in order to make them a reality. I introduce the concept of a reconfigurable maze, and work through the design of a first prototype based on a 2 x 2 grid of square tiles. The prototype is a partial solution to the original problem, leaving open many opportunities for future innovation.