Sujet : Re: How to Make Cisterns
De : richard (at) *nospam* cogsci.ed.ac.uk (Richard Tobin)
Groupes : rec.puzzlesDate : 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