Wandering The Earth
Thanks John E

You are at a point on the Earth, travel 1 mile south then turn left and travel 1 mile east. You then turn left again and travel 1 mile north and find that you are back exactly where you started and shoot a bear. Question: What is the color of the bear?" That's the easy part. The second part is more challenging: "Where else on the surface of the Earth can you be (no bears) and travel 1 mile south, 1 mile east, 1 mile north and find that you're back exactly at your starting place". This is not a trick question. No lumps or bumps, mountains, etc. Imagine the Earth as a perfectly smooth sphere. I came up with 2 infinite sets of solutions! But ignore that; it will just lead to confusion. Question: Can you find one solution? See answers