One of my favourite bits of trivia: it is this property (being "unicursal") which leads to a maze being more specifically characterized as a labyrinth.
That's interesting, but it's a weird definition. In the myth of the Minotaur, the labyrinth Theseus is trapped in surely must have branches (or he wouldn't need a ball of thread), so it doesn't fit this definition.
Wikipedia[1] also notes this contradiction:
> Although early Cretan coins occasionally exhibit branching (multicursal) patterns, the single-path (unicursal) seven-course "Classical" design without branching or dead ends became associated with the Labyrinth on coins as early as 430 BC, and similar non-branching patterns became widely used as visual representations of the Labyrinth – even though both logic and literary descriptions make it clear that the Minotaur was trapped in a complex branching maze.
This is true for mazes with only one path from start to end. Each additional path necessitates a separate piece (path permutations nonwithstanding)