Article View: rec.puzzles
Article #2509Re: Manhole covers - why circular?
From: Shiping Zhang
Date: Tue, 05 Jan 1993 22:30
Date: Tue, 05 Jan 1993 22:30
31 lines
1517 bytes
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!pingReferences:
<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