gml@ssc-vax.UUCP (Gregory M Lobdell) (10/21/85)
> > The sequel: (1) From how many points on Earth (assuming spherical etc) > > can you make exactly these moves, i.e., walk 1 mile south, 1 > > mile west, 1 mile north, and be back where you started? > > Judith Abrahms > > The problem is trivial. There are an infinite number of such points lying > on an infinite number of concentric circles centered on the south pole. > The point is that you can walk N times around a circle whose radius is > 1/(2 PI N) and still walk only 1 mile. Walking due west keeps you on the > circle. > > Bob Silverman (they call me Mr. 9) You all missed one point in all your infinities. There is also the north pole. A mile south, a mile west, a mile north, puts you back at the north pole. My humble apologies if this has appeared before, Gregg Lobdell