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Article #2521Re: Manhole covers - why circular?
From: Christopher Boek
Date: Wed, 06 Jan 1993 07:29
Date: Wed, 06 Jan 1993 07:29
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an1060@anon.penet.fi writes: >X-Anon-To: rec.puzzles >Anything with a CONSTANT HEIGHT will do. Circles are the most popular >examples, also "triangles" with circular edges (the Mazda Rotary engine uses >such a design).... Can anyone think of other shapes with a constant height?? >(i.e. shapes that when rolled on a surface along their perimeter yield a >constant height from the surface)... A triangle doesn't necessarily satisfy the condition. Consider an equilateral triangle - the distance from the tip to the centre of the base is less than the length of a side. Therefore it could slip down the hole if the base (i.e. one of the sides) is perpendicular to the ground and the lid is close to the edge of the hole. Chris. -- | ||| ||| | ||| ||| ||| | ||Christopher Boek - boek@mullian.ee.mu.oz.au | ||| ||| | ||| ||| ||| | || Dept Elec Eng Univ of Melbourne Australia | | | | | | | | | / "Anybody remotely interesting is mad in |___|___|___|___|___|___|___|___| \_/\_/\_/\_/\__/(:*- some way or another"
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Newsgroups: rec.puzzles Path: arc1-ca.pugleaf.net!sparky!uunet!munnari.oz.au!cs.mu.OZ.AU!boek From: boek@mullian.ee.mu.OZ.AU (Christopher Boek) Subject: Re: Manhole covers - why circular? Message-ID: <boek.726305378@mungee> Sender: news@cs.mu.OZ.AU Organization: Computer Science, University of Melbourne, Australia References: <1993Jan5.230841.13992@fuug.fi> Date: Wed, 6 Jan 1993 07:29:38 GMT Lines: 23