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From: turpin@cs.utexas.edu (Russell Turpin)
Newsgroups: comp.ai,sci.physics
Subject: Re: Quasicrystals and hidden variables (Chaos and AI)
Summary: There are local rules for their construction.
Keywords: finite discrete systems, periodicity, quasicrystals, QM
Message-ID: <8334@cs.utexas.edu>
Date: 8 Apr 90 23:48:33 GMT
References: <6925@cps3xx.UUCP> <3142@usceast.UUCP> <5328@ucrmath.UCR.EDU>
Followup-To: comp.ai,sci.physics
Organization: U. Texas CS Dept., Austin, Texas
Lines: 15

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In article <5328@ucrmath.UCR.EDU>, baez@x.ucr.edu (john baez) writes:
> I haven't managed to get ahold of it - does Penrose's
> book really suggest that the growth of quasicrystals,
> which seems to require "forethought" or nonlocal correlations
> to make the quasicrystal come out exactly right, indicates
> that there are nonlocal hidden variables, or that 
> quantum computers can exceed the powers of Turing machines?

Someone wrote a paper describing how Penrose tilings can result
from local rules.  I forget who this was.  Perhaps someone else
can provide a reference?  I do not know if local rules have
been extended to the 3-d case.

Russell