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Article #2477

Re: "map" of USA

#2477
From: Darcy Boese
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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Message-ID: <1993Jan24.163443.17553@spartan.ac.BrockU.CA>
Path: arc1-ca.pugleaf.net!sparky!uunet!ogicse!uwm.edu!cs.utexas.edu!torn!spartan.ac.BrockU.CA!dboese
References: <1993Jan24.154526.24491@zip.eecs.umich.edu>

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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
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