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- Path: 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
-
- 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.
-