> John VanSickle wrote:
> > A pedantic nitpick, but while the red and blue tiles are shaped
> > like those of a Penrose tiling, they are not arranged in the
> > Penrose pattern.

"Jerome M. Berger" wrote:
>         Well, according to this page:
> http://mathworld.wolfram.com/PenroseTiles.html they're not
> even shaped like a Penrose tiling's tiles...

You have in mind the darts-and-kites form?  Aperiodic tilings can also
be done with rhombs; see
	http://www.ics.uci.edu/~eppstein/junkyard/penrose.html

-- 
Anton Sherwood  --  br0### [at] p0b0xcom  --  http://ogre.nu/

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Anton Sherwood wrote:
> 
> > John VanSickle wrote:
> > > A pedantic nitpick, but while the red and blue tiles are shaped
> > > like those of a Penrose tiling, they are not arranged in the
> > > Penrose pattern.
> 
> "Jerome M. Berger" wrote:
> >         Well, according to this page:
> > http://mathworld.wolfram.com/PenroseTiles.html they're not
> > even shaped like a Penrose tiling's tiles...
> 
> You have in mind the darts-and-kites form?  Aperiodic tilings can also
> be done with rhombs; see
>         http://www.ics.uci.edu/~eppstein/junkyard/penrose.html

Both patterns can be broken down into an underlying pattern of fat and
skinny triangles.  The triangle pattern is much easier for a script
file to subdivide.

Regards,
John

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