A traveller starts out from the Earth's equator, heading exactly northeast. Undeterred by mountains, oceans and political boundaries, he continues on a northeasterly heading until he can go no further.
Where does he end up?
How far did he go?
How many times did he circumnavigate the earth? (For these purposes, this means travel through 360 degrees of longitude.)
(In reply to
re(6): Doesn't matter. by friedlinguini)
I cannot get beyond the intuitive fact it is not possible
to reach a certain point if never moving straight at it..
(unless ofcourse you assume non pointlike entities for
traveller, north pole)