Reader Corey Lanum poses the following question: There are many places in the US where the shortest line between two points in the same state passes through another state. E.g., a straight line from Duluth to Rochester, MN, passes through Wisconsin. There is one place in the country where you can draw a straight line between two points in the same state and pass through four other states. There is one place where you can pass through three states, and there is another place where you can pass through more than three states. Where are these places?

(There's no funny business like going from Kansas City, Kansas to Topeka, Kansas, by going east and passing through Missouri, Illinois, Indiana, etc., the Atlantic Ocean, Europe, and Asia, before coming back through the Western US. I'm talking about the shortest path between two places.)