Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/5/84; site reed.UUCP Path: utzoo!watmath!clyde!cbosgd!ihnp4!houxm!vax135!cornell!uw-beaver!tektronix!reed!alexis From: alexis@reed.UUCP (Alexis Dimitriadis) Newsgroups: net.jokes,net.puzzle Subject: Re: Manhole covers (interview question) Message-ID: <1196@reed.UUCP> Date: Fri, 29-Mar-85 01:57:03 EST Article-I.D.: reed.1196 Posted: Fri Mar 29 01:57:03 1985 Date-Received: Sun, 31-Mar-85 02:49:39 EST References: <462@nbs-amrf.UUCP> <7074@watdaisy.UUCP> <474@nbs-amrf.UUCP> <237@vaxwaller.UUCP> Reply-To: alexis@reed.UUCP (Alexis Dimitriadis) Organization: Reed College, Portland, Oregon Lines: 46 Xref: watmath net.jokes:11593 net.puzzle:660 Summary: >> >> > > > Why are manhole covers round? >> >> Also, why doesn't a manhole cover (of any shape, but let's stick to round >> ones) fall into the manhole? It is because there is either a ledge on which >> it rests or the opening is beveled. In either case, I claim that all >> regular polygons of sufficiently high order approximate a circle closely >> enough that they will not fall into the hole, either. >> >Certainly no four sided cover will work >and it seems likely that you would have to approximate a circle so closely >as to be pointless. Was the original question theoretical or practical ? > >Bob Palin, zehntel!varian!bob (Naturally, net.jokes is an inappropriate place for this discussion, but I find it interesting). Think about what "beveled" means. Yes, even a square cover will not fall in its hole if bevelled enough. (Think of it as essentially upside-down pyramid shaped). Clearly, anything larger number of edges would work better and better. Someone pointed out that you can roll a round cover into place. A round cover can also be dropped in its hole without concern for alignment, unlike any polygonal shape. Besides, has anyone realized that round manhole covers generally cover round manholes? A round manhole (cylinder) has the smallest surface-to volume ratio possible, and is therefore cheaper. (Sewer pipes are also round. Anyone care to speculate on why?). Let me add a plea to restrict future discussion to net.puzzle, and net.manhole.cover. The plea doubles as the obligatory joke, since noone will follow it. Facetiously, alexis PS. The discussion on the Roullaux (sp?) drill was rather interesting. Does anyone know the actual shape of the drill? -- _______________________________________________ alexis @ reed ...ihnp4!{harvard|tektronix}!reed ...decvax!tektronix!reed ...teneron!reed