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Message: <blockquote data-quote="ender_wiggin" data-source="post: 5657055" data-attributes="member: 21629">Your understanding is correct.The equator is still the normal equator, but on the map the equator will appear as a curve. This is because we're taking a spiral and wrenching it into a straight line (making actual straight lines like the equator look curved). Sort of like: the shortest path between Boston and Beijing is a straight line, but on a Mercator projection (a normal world map) it looks like a curve.Also, I have since realized that the shape I'm looking for is not a loxodrome (at least not exactly). I'm looking for a curve that crosses each longitude and latitude exactly once. A loxodrome never reaches either pole but instead continues to wind round and round. The shape I'm most likely looking for is a spherical helix, but the math unfortunately is more complicated for such curves.EDIT: Nope, not true. I don't think such a curve I'm looking for exists, because the north and south pole by definition are all longitudes. Back to the drawing board.</blockquote>