Normal mazes require you to move a point-like object from the entrance of the maze to the exit.
I am wondering whether a different kind of maze would work as a puzzle:
Imagine a maze printed on a piece of paper, and a pair of compasses, which touches the paper in two points:
The following rules apply:
- You can move and rotate the compass, but not lift it.
- The two points may not cross a wall of the maze.
- You cannot change the distance between the two points. The compass is rigid.
With these rules, can you create a nontrivial maze with two entrances and two exits?
The two points should have to travel along different paths, not simply behind each other on the same path.
I could not find any further information about this type of maze. Is there a name for it, and are there existing examples? Perhaps even an algorithm to create such mazes?