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wu :: forums    riddles    medium (Moderators: Icarus, Grimbal, SMQ, towr, Eigenray, william wu, ThudnBlunder)    Globe Traversal Solution « Previous topic | Next topic » Pages: 1  Reply Notify of replies Send Topic Print    Author  Topic: Globe Traversal Solution  (Read 8846 times) Otto Guest Globe Traversal Solution   « on: Jul 23rd, 2002, 9:13pm » Quote Modify Remove [This is "cheating" in some sense.]   You can start from any point on the globe and travel any direction initially.  Since all the points on the globe are the same, either no point or every point satisfies this riddle.  Since the "hint" asserts that more than two points satisfy it, all points do. IP Logged QM Guest Re: Globe Traversal Solution   « Reply #1 on: Jul 23rd, 2002, 9:50pm » Quote Modify Remove Actually, I think that this is a sphere with poles, not all points are equal. In particluar, the north and south poles are distinct. It might be that the answer could be all the points on the equator, but no others. (That's not the answer, though.) IP Logged Ivo Guest Re: Globe Traversal Solution   « Reply #2 on: Jul 23rd, 2002, 10:00pm » Quote Modify Remove There's a circle of points very close to the south pole that also work.... IP Logged Ctrl-D Guest Re: Globe Traversal Solution   « Reply #3 on: Jul 23rd, 2002, 10:19pm » Quote Modify Remove I'd say that the north pole works, as well as a ring of continuous points 1 mile north of the point in the southern hemisphere where the circumference of a cross section is 1 mile as well.   ^D IP Logged xixi Guest Re: Globe Traversal Solution   « Reply #4 on: Jul 23rd, 2002, 11:21pm » Quote Modify Remove Ctrl-D is right. However, there are actually more points. Not only can one start at any point one mile north of where, in the southern hemisphere, the circumference of the cross section of the globe is one mile, one can start one mile north of where the circumference is half a mile or a third of a mile or (1/n) miles, where n is a positive integer. This is because walking east one mile along any of these paths will result in the circumnavigation of the globe n times, leaving the traveller one mile south of his original starting point.   ~xixi IP Logged Franklinstein Guest Re: Globe Traversal Solution   « Reply #5 on: Jul 28th, 2002, 11:10am » Quote Modify Remove excellent answers. I am curious about the second hint, though: Christopher Columbus. Perhaps there is a trick here involving the magnetic equator. Which way does a compass point when it is between the magnetic poles? IP Logged BigBadBert Guest Re: Globe Traversal Solution   « Reply #6 on: Jul 29th, 2002, 12:42pm » Quote Modify Remove Answer 1= The North Pole- Go south for one mile, walk clockwise (if looking at the earth from the top) in a circle, (maintaining a distance of one mile from the pole) for one mile, turn toward the pole and walk toward it (north) for one mile.   Answer 2= Any point that is 1.16 (approximately) miles away from the South Pole-   The circumfrence of a circle is pi times the diameter we need a circle with a circumfrence of 1 mile. So 1 divided by pi (3.14 because I want to keep the numbers small) equals .32 (rounded). So we cut that in half to get the raduis which would be .16 . So from 1.16 miles away from the South Pole, we go south for one mile, walk west around our 1 mile circle, then walk north 1 mile to or original location. IP Logged BigBadBert Newbie     Posts: 1 Re: Globe Traversal Solution   « Reply #7 on: Jul 30th, 2002, 5:53am » Quote Modify Actually, just thought of another set of solutions based on my second answer. walk a mile south toward the South Pole, walk west around a circle of 1/2 mile diameter, then walk north 1 mile. Will work for any circle of 1/n length where n=a positive whole number. IP Logged nlgordaz Newbie     Gender: Posts: 2 Re: Globe Traversal Solution   « Reply #8 on: May 13th, 2009, 8:54pm » Quote Modify How is it "cheating?" IP Logged towr wu::riddles Moderator Uberpuzzler Some people are average, some are just mean.     Gender: Posts: 13730 Re: Globe Traversal Solution   « Reply #9 on: May 13th, 2009, 10:43pm » Quote Modify on May 13th, 2009, 8:54pm, nlgordaz wrote: How is it "cheating?" It's not, Otto was just plain wrong. But xixi had the right answer.   Rather old topic to resurrect.. IP Logged Wikipedia, Google, Mathworld, Integer sequence DB Pages: 1  Reply Notify of replies Send Topic Print Forum Jump: ----------------------------- riddles -----------------------------  - easy => medium   - hard   - what am i   - what happened   - microsoft   - cs   - putnam exam (pure math)   - suggestions, help, and FAQ   - general problem-solving / chatting / whatever ----------------------------- general -----------------------------  - guestbook   - truth   - complex analysis   - wanted   - psychology   - chinese « Previous topic | Next topic »

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