In the Outer Hemiplane, Qantas (aka Satan-Q) and other great airline-satans misrepresent their flight route. What the fellows posting diagrams fail to understand is that the airlines are flying the straight route, not the curved route, in those cases. In the inner hemiplane, where commonly recognizable geographical features are more common, they do, in fact, comply with great circle flying. Nobody can tell the difference between two areas of homogenous ocean, but people can tell the difference between, say, Greenland and the ocean quite easily.