Jamie Davison wrote:
> 
[...]
> 
> I thought that the whole point of penrose tiling was that there *was* no
> pattern, that you could fling the tiles together almost randomly and
> still get them to tesselate...
> 
> I could easily be wrong though.
> 
> Bye for now,
>      Jamie.

IIRC, penrose tilings have a nonperiodic structure, but they are based on very
simple rules, for example fractint describes penrose tiling with the following
L-System:

Penrose1 {
  Angle 10
  Axiom +WF--XF---YF--ZF
  W=YF++ZF----XF[-YF----WF]++
  X=+YF--ZF[---WF--XF]+
  Y=-WF++XF[+++YF++ZF]-
  Z=--YF++++WF[+ZF++++XF]--XF
  F=
}

So there is only one unique penrose tiling, and changing any element, even if
the tiling stays complete, would no more be a real penrose :-)

Christoph

--
Christoph Hormann <chr### [at] gmxde>
Homepage: http://www.schunter.etc.tu-bs.de/~chris/

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