Article View: rec.puzzles
Article #2541Re: "map" of USA
From: Darcy Boese
Date: Tue, 26 Jan 1993 13:48
Date: Tue, 26 Jan 1993 13:48
19 lines
1439 bytes
1439 bytes
I've already received two pieces of mail telling me I didn't read the puzzle definition correctly... I guess what happened was the business of calling cities points and every point a city confused me. It doesn't make much sense saying "is it necessary for some city to be the same on both maps" since cities are finite... so I just thought it was a typo... In any case, here is a "common sense" solution to the GIVEN puzzle that some point must be common between maps of both scales: The smaller map need only be completely inside the bigger map to guarantee that some point is common... it does not matter if the pieces are disjoint. Call the big map A, and the small map B. Consider a third map C which is aligned with the smaller map the same way as B is aligned in A. ie. A:B = B:C If you were to continue this process (A:B = B:C = C:D = D:E = ...) then the position of the new map which you insert into the smallest map will converge to a point: this is the common point between A and B.
Technical Details
Message-ID:
<1993Jan26.134849.11185@spartan.ac.BrockU.CA>Path:
arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!torn!spartan.ac.BrockU.CA!dboeseReferences:
<1993Jan26.061643.18482@Csli.Stanford.EDU>Show Full Headers
Complete Article Headers
Newsgroups: rec.puzzles Path: arc1-ca.pugleaf.net!sparky!uunet!cs.utexas.edu!torn!spartan.ac.BrockU.CA!dboese From: dboese@spartan.ac.BrockU.CA (Darcy Boese) Subject: Re: "map" of USA Message-ID: <1993Jan26.134849.11185@spartan.ac.BrockU.CA> Organization: Brock University, St. Catharines Ontario X-Newsreader: Tin 1.1 PL4 References: <1993Jan26.061643.18482@Csli.Stanford.EDU> Date: Tue, 26 Jan 1993 13:48:49 GMT Lines: 19