More Conundrums

The riddle from the last "conundrums" post: a man comes out of his house and walks one league south, then one league east, then one league north, then finds himself back at his front door.
Aaaand, the explanation...

Math Joke (10/22)

     I'ma try to post a math joke at least once every week or so, just to make me remember to keep posting stuff. We'll start off with an easy one, and since Halloween's right around the corner...

Q: What do you get if you divide the circumference of a jack-o-lantern by its diameter?

Conundrums

 Murdered cricketers. Who ever knew there so many, and why on earth are they important enough to have an entire Wikipedia page? That, indeed, is a conundrum.
 Speaking of conundrums, I have one for you. Consider this: a man comes out of his house and walks one league south, then one league east, then one league north, then finds himself back at his front door.
Able to explain? Please do. It is indeed related to non-Euclidean geometry, in case you're wondering.