POV-Ray : Newsgroups : povray.binaries.images : penrose tiles and sphere(180K?) : Re: penrose tiles and sphere(180K?) Server Time
2 Oct 2024 02:19:56 EDT (-0400)
  Re: penrose tiles and sphere(180K?)  
From: John VanSickle
Date: 23 Jan 2001 02:03:24
Message: <3A6D4219.CE461593@erols.com>
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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