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Article #2477Re: "map" of USA
From: Darcy Boese
Date: Sun, 24 Jan 1993 16:34
Date: Sun, 24 Jan 1993 16:34
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Nope: it is not necessary for cities to match. Consider a scale map the size of (say) a football field. Now consider one the size of a pinhead. (There are computer circuits sufficiently complicated that a level of detail this fine can be assumed) Now you must realize that there is physical space between the cities: the United States is not one gigantic city. Place the pinhead-sized map in a space between cities on the larger map... then no cities can possibly match. This is not the same problem as a POINT matching another point on each map, where we have mathematically that some point coincides.
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Path: arc1-ca.pugleaf.net!sparky!uunet!ogicse!uwm.edu!cs.utexas.edu!torn!spartan.ac.BrockU.CA!dboese From: dboese@spartan.ac.BrockU.CA (Darcy Boese) Newsgroups: rec.puzzles Subject: Re: "map" of USA Message-ID: <1993Jan24.163443.17553@spartan.ac.BrockU.CA> Date: 24 Jan 93 16:34:43 GMT Article-I.D.: spartan.1993Jan24.163443.17553 References: <1993Jan24.154526.24491@zip.eecs.umich.edu> Organization: Brock University, St. Catharines Ontario Lines: 12 X-Newsreader: Tin 1.1 PL4