sgb@mungunni.OZ (Steven Bird) (11/07/85)
> > The sequel: (1) From how many points on Earth (assuming it's spherical) > > can you ... walk 1 mile south, 1 > > mile west, 1 mile north, and be back where you started? > > How about a more difficult sequel like the following: > > Where on the earth can one walk 1 mile south, 1 mile west, 1 mile > north, AND 1 mile east, and end up at the starting point? > > If you think you have a solution, there should be more... It would be nice > if some mathematically inclined readers could contribute exact and complete > solutions (to both sequels). OK people, how about a complete mathematical analysis of the next sequel: Where on the earth can one walk 1 mile North, 1 mile South, 1 mile East and 1 mile West, and end up at the starting point? Now surely *everyone* out there can send a reply for this one, a great improvement over the mere thirty (or so) postings generated for the previous sequels. :-) -- Steven Bird. {seismo,ukc}!munnari!sgb decvax!mulga!sgb
ins_akaa@jhunix.UUCP (Kenneth Adam Arromdee) (11/08/85)
In article <527@mungunni.OZ> sgb@mungunni.UUCP (Steven Bird) writes: >OK people, how about a complete mathematical analysis of the next sequel: > > Where on the earth can one walk 1 mile North, 1 mile South, > 1 mile East and 1 mile West, and end up at the starting point? > >Now surely *everyone* out there can send a reply for this one, >a great improvement over the mere thirty (or so) postings generated >for the previous sequels. :-) > >Steven Bird. Everywhere on the Earth EXCEPT on A) the South Pole (because when you get to the point where you have to walk east "east" isn't defined) and B) within a circle in a radius of one mile from the North pole. (because you can't walk a whole mile north). -- ------------------------------------------------------------------- If you know the alphabet up to 'k', you can teach it up to 'k'. Kenneth Arromdee BITNET: G46I4701 at JHUVM and INS_AKAA at JHUVMS CSNET: ins_akaa@jhunix.CSNET ARPA: ins_akaa%jhunix@hopkins.ARPA UUCP: ...{decvax,ihnp4,allegra}!seismo!umcp-cs!aplvax!aplcen!jhunix!ins_akaa