A rabbit is chasing a turtle (or tortoise, whatever you prefer!). Each of them makes one move at a time and they are only allowed to land on adjacent vertices and only on the grid. The rabbit goes first. Will it ever catch the turtle (obviously after a limited number of moves)?
I don't see any way of approaching this via any theory, although I am not good at maths. Having tried (almost) every possible move (on paper), it seems that the turtle can always be one step ahead.
I believe the tricky point is the triangle, but I don't know how to make use of it!
Any help is very welcome!