Labyrinths are ancient, fascinating and mathematical

Note the difference between mazes (which have high walls, dead ends and many potential wrong turns) and contemporary labyrinths (often a very low or flat design on the ground that encourages contemplative walking. Labyrinths are unicursal (i.e. having a single path) and often in the shape of some kind of spiral. They often lead in to a resting place near the centre, so that the labyrinth walker has a phase of going in, a phase of resting or meditation, and a phase of going out of the path.

Here are some great resources to start learning about the history of labyrinths and math:

1. Chapter from the MAA book, Hands On History, about the history and geometry of traditional labyrinths.  (Here's a scan of it too.)
   
   
   
2. A Bridges Math and Art 2013 conference paper (Fenyvesi, Jablan & Radovic) that shows a way to construct labyrinths out of striped squares -- something that would be interesting to try with a class.
   
   
   
   
   
   
   
   
   
3. Making Your Own Labyrinth The Easy Way: Anne Nesbitt, 2003.