Line? Cool. Resolved. Move on.
My AP Government and Politics teacher (awesome dude) likes to reply to my scientific jargon with "The shortest path between two points is a straight line drawn in opposite directions!" I then say "Only in Eucledian Space!" Sometimes I add "In Minkowski Space-Time, a straight line connecting two points makes up the longest possible path."
SO. Any of you know any other spaces in which a straight line is actually the longest path between two points - or just simply not the shortest one?