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From: boswell@pyr1.Cs.Ucl.ac.uk
Newsgroups: comp.graphics
Subject: Re: Tough geometry problem
Message-ID: <2900001@pyr1>
Date: Wed, 3-Dec-86 10:20:00 EST
Article-I.D.: pyr1.2900001
Posted: Wed Dec  3 10:20:00 1986
Date-Received: Fri, 5-Dec-86 05:42:25 EST
References: <1231@cit-vax.Caltech.Edu>
Lines: 20
Nf-ID: #R:cit-vax.Caltech.Edu:-123100:pyr1:2900001:000:835
Nf-From: pyr1.Cs.Ucl.ac.uk!boswell    Dec  3 15:20:00 1986


 > /* Written  8:46 pm  Nov 24, 1986
 >	by news@cit-vax.Caltech.Edu in pyr1:net.graphics */
 >
 > In article <13111@glacier.ARPA> jbn@glacier.ARPA (John B. Nagle) writes:
 > >...
 > >superquartics, which allow bigger exponents.  Imagine a display of a
 > >sphere attached to a "squareness" control; as you turn up the "squareness",
 > >the corners become more square.  An intermediate figure looks like a TV
 > >screen, and higher values look like later model TV screens; eventually
 > >one gets a cube.  
 > /* End of text from pyr1:net.graphics */

Don't know how relevant to this particular discussion this might be,
but this sort of shape, in 2 and 3 dimensions (maybe more, but I don't
remember), is discussed, in a fair amount of detail, in Martin
Gardner's book "Mathematical Carnival" under the heading of
"Supereggs".

	Phil.