POV-Ray : Newsgroups : povray.binaries.images : Penrose Tile Macros : Re: Penrose Tile Macros Server Time
3 May 2024 14:32:05 EDT (-0400)
  Re: Penrose Tile Macros  
From: Jon Buller
Date: 25 Jun 2006 18:35:00
Message: <web.449f0d666376349e2ff3aa640@news.povray.org>
Jellby <me### [at] privacynet> wrote:
> Among other things, Jon Buller saw fit to write:
>
> > Anyway, here's the image with Kites, Darts, standard curves, and Ammon
> > Bars.
>
> Magnificent!

Thank you.

> Are the bars/lines supposed to be straight? They don't look so...

Yes, the blue bars/lines are supposed to be straight, but taking a closer
look, I see the pixeled edges change spacing a bit from one spot to another.
A sure sign that the slope of the line is changing slightly.  Must be either
floating point round off error, or the points where the bars intersect the
tile edges weren't described accurately in the source I coded them from.

Jon

P.S. I found a reference to doing penrose tiling with a pair of triangles.
4 triangles make a "Kite" two make a "Dart", and the two types each pair up
to make the two different Rhombs.  The advantage of this new way is that
when the triangles "inflate", the new parts don't overlap, so duplicate
checking doesn't need to be done.  (Or simple code doesn't generate multiple
copies of the same object.)  The disadvantage is that I am not sure if it is
easy/possible to tell which triangles belong to which Kite, Dart, or Rhomb
without looking at the triangle's neighbors.  I'll play with it some more
and see if I can figure it out.


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