Re: How to Make Cisterns

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Sujet : Re: How to Make Cisterns
De : richard (at) *nospam* cogsci.ed.ac.uk (Richard Tobin)
Groupes : rec.puzzles
Date : 03. May 2025, 14:40:38
Autres entêtes
Organisation : Language Technology Group, University of Edinburgh
Message-ID : <vv56cm$2l13g$1@artemis.inf.ed.ac.uk>
References : 1
User-Agent : trn 4.0-test76 (Apr 2, 2001)
In article <vv4iua$31980$1@dont-email.me>,
David Entwistle  <qnivq.ragjvfgyr@ogvagrearg.pbz> wrote:

I guess a follow on question could be; is it possible to cut out four non-
square pieces (all of the same size and shape), producing a cistern with
tapering sides, which has greater volume. I haven't looked at that yet...

Yes, because if you open up the top of the cistern by a small amount
(turning the cut-off squares into kites) it will obviously increase
the mean horizontal cross-section more than it will decrease the
height.

To prove that this is actually, rather then merely obviously, true,
and to find the maximum, would require more manipulation than I am
currently willing to do by hand.

-- Richard

Date Sujet#  Auteur
3 May 25 * How to Make Cisterns18David Entwistle
3 May 25 +* Re: How to Make Cisterns9Richard Heathfield
3 May 25 i+* Re: How to Make Cisterns7David Entwistle
3 May 25 ii`* Re: How to Make Cisterns6Richard Heathfield
3 May 25 ii `* Re: How to Make Cisterns5Richard Tobin
3 May 25 ii  `* Re: How to Make Cisterns4Richard Heathfield
3 May 25 ii   `* Re: How to Make Cisterns3Richard Heathfield
3 May 25 ii    +- Re: How to Make Cisterns1David Entwistle
3 May 25 ii    `- Re: How to Make Cisterns1Richard Tobin
3 May 25 i`- Re: How to Make Cisterns1Richard Tobin
3 May 25 +- Re: How to Make Cisterns1Richard Tobin
3 May 25 +- Re: How to Make Cisterns1Richard Tobin
4 May 25 +- Re: How to Make Cisterns1Richard Tobin
4 May 25 +- Re: How to Make Cisterns1David Entwistle
4 May 25 +- Re: How to Make Cisterns1Carl G.
7 May 25 `* Re: How to Make Cisterns3David Entwistle
7 May 25  `* Re: How to Make Cisterns2David Entwistle
9 May 25   `- Re: How to Make Cisterns1Mark Brader

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