🚀 go-pugleaf

RetroBBS NetNews Server

Inspired by RockSolid Light RIP Retro Guy

Article View: rec.puzzles
Article #2509

Re: Manhole covers - why circular?

#2509
From: Shiping Zhang
Date: Tue, 05 Jan 1993 22:30
31 lines
1517 bytes
In article <NICHAEL.93Jan5134917@kariba.bbn.com> ncramer@bbn.com writes:
>robertw@informix.com (Robert Weinberg) writes:
>
>   Manhole covers are manufactured in circular shape, rather than oval or square, to  
>   satisfy one paramount condition.
>
>   What is the condition ...
>
>The cover can't fall down the hole.
>
>   ... and why does a circular shape satisfy it?
>
>Because: DIAMETER_HOLE <= DIAMETER_COVER
>for all possible values of DIAMETER_HOLE and DIAMETER_COVER.
>
>   What other shapes would also satisfy the condition?
>
>Given the above, for any fully convex shape, I don't _think_ there are
>any others.
>
>Probably if I was clever enough (and/or had more time) perhaps I could
>come up with some more complicated shape.
>
>(Implicit in the above is the assumption that what's really keeping
>the lid from dropping is a narrow lip around the edge of the hole.  If
>we could play with the width of the lip, we could surely get other
>allowable shapes, but the problem would quickly become uninteresting.)

  Triangle shape also meets the condition.

-ping
Technical Details
Message-ID: <1993Jan5.223030.20394@bnlux1.bnl.gov>
Path: arc1-ca.pugleaf.net!sparky!uunet!psinntp!bnlux1.bnl.gov!ping
References: <1993Jan5.173440.10482@informix.com> <NICHAEL.93Jan5134917@kariba.bbn.com>

Show Full Headers
Complete Article Headers
Newsgroups: rec.puzzles
Path: arc1-ca.pugleaf.net!sparky!uunet!psinntp!bnlux1.bnl.gov!ping
From: ping@bnlux1.bnl.gov (Shiping Zhang)
Subject: Re: Manhole covers - why circular?
Message-ID: <1993Jan5.223030.20394@bnlux1.bnl.gov>
Organization: Brookhaven National Laboratory, Upton, NY 11973
References: <1993Jan5.173440.10482@informix.com> <NICHAEL.93Jan5134917@kariba.bbn.com>
Date: Tue, 5 Jan 1993 22:30:30 GMT
Lines: 34