Just a floor right now. The code was modified from some code by PM 2Ring,
which was modified from some code by John VanSickle.
See PM 2Ring's post:
http://news.povray.org/povray.binaries.images/message/%3Cweb.4386daf17ed7ae6c2eef1b3b0%40news.povray.org%3E/#%3Cweb.438
6daf17ed7ae6c2eef1b3b0%40news.povray.org%3E

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Preview of image 'penfloortiles.jpg'

"Janet" <par### [at] attnet> wrote:
> Just a floor right now. The code was modified from some code by PM 2Ring,
> which was modified from some code by John VanSickle.

Nice colours (as usual), Janet.

Are those curves on the tiles derived from the Conway lines? If not they
sure look a lot look like Conway lines.

With those colours it could be a stained glass wall as well as a floor.

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"PM 2Ring" <nomail@nomail> wrote:
> Are those curves on the tiles derived from the Conway lines? If not they
> sure look a lot look like Conway lines.
>
> With those colours it could be a stained glass wall as well as a floor.

Stained Glass... that could be nice. I'd have to work on the leading. Thanks
for the idea.
I don't know what Conway lines are, but please enlighten me. The lines are a
normal function:
#declare phi=Phi-1;
#declare Fc1 = Phi;
#declare Fc2 = phi;
#declare Func = function {
         cos(x) * cos(z) + cos((sqrt(Fc1)*x-z)/Fc2) *
         cos((x+sqrt(Fc1)*z)/Fc2) + cos((sqrt(Fc1)*x+z)/Fc2) *
         cos((x-sqrt(Fc1)*z)/Fc2) }

You can change Fc1 and Fc2 to get different patterns. I found this function
here: http://www.interq.or.jp/blue/kawashu/gallery/unofficial.html

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"PM 2Ring" <nomail@nomail> wrote in message
news:web.44955495577206901bd1c060@news.povray.org...
> "Janet" <par### [at] attnet> wrote:
> > Just a floor right now. The code was modified from some code by PM
2Ring,
> > which was modified from some code by John VanSickle.
>
> Nice colours (as usual), Janet.
>
> Are those curves on the tiles derived from the Conway lines? If not they
> sure look a lot look like Conway lines.
>
> With those colours it could be a stained glass wall as well as a floor.
>

I agree. If the title didn't mention "floor", I would have assumed a stained
glass window.

very vibrant image

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"Janet" <par### [at] attnet> wrote:
> "PM 2Ring" <nomail@nomail> wrote:
> > Are those curves on the tiles derived from the Conway lines? If not they
> > sure look a lot look like Conway lines.
> >
> > With those colours it could be a stained glass wall as well as a floor.
>
> Stained Glass... that could be nice. I'd have to work on the leading. Thanks
> for the idea.
> I don't know what Conway lines are, but please enlighten me. The lines are a
> normal function:
> #declare phi=Phi-1;
> #declare Fc1 = Phi;
> #declare Fc2 = phi;
> #declare Func = function {
>          cos(x) * cos(z) + cos((sqrt(Fc1)*x-z)/Fc2) *
>          cos((x+sqrt(Fc1)*z)/Fc2) + cos((sqrt(Fc1)*x+z)/Fc2) *
>          cos((x-sqrt(Fc1)*z)/Fc2) }
>
> You can change Fc1 and Fc2 to get different patterns. I found this function
> here: http://www.interq.or.jp/blue/kawashu/gallery/unofficial.html

I'm not sure exactly what "PM2 Ring" meant by "Conway lines", but look at
the circles in the tiles on this page:

http://www2.spsu.edu/math/tile/aperiodic/penrose/penrose2.htm

The circles are usually used to make sure that the tiles are not put
together into rhombuses that just repeat across the plane like squares do.
I believe Conway added those circles as a simpler way of enforcing the rules
than what Penrose had done.

The other thing that comes to my mind (working on "lines" instead of
"Conway") is Ammon Bars.  To see them, take a look at the colored straight
lines running across all the tiles at:

http://www2.spsu.edu/math/tile/aperiodic/empires/ammanbars.htm

And now I have a question too.  The colors are wonderful, sometimes paired
up across an edge, and sometimes not.  How did you select them and apply
them to the triangles?

Jon

P.S. I have a set of macros that do Penrose Rhombs, and another that do
Penrose Kites and Darts (more like your image).  I have found them easier
to work with and more flexible than any other ones I've seen posted, but
I'm probably rather biased.  The others were helpful with a few hints and a
push to actually do it, though.  If you (or anyone else) is interested, I'll
finish cleaning them up and post them.

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"Jon Buller" <jon### [at] bullersnet> wrote:
> I'm not sure exactly what "PM2 Ring" meant by "Conway lines", but look at
> the circles in the tiles on this page:
>
> http://www2.spsu.edu/math/tile/aperiodic/penrose/penrose2.htm
>
> The circles are usually used to make sure that the tiles are not put
> together into rhombuses that just repeat across the plane like squares do.
> I believe Conway added those circles as a simpler way of enforcing the rules
> than what Penrose had done.

Okay thanks, I couldn't find Conway lines anywhere on the internet. But I
have seen these lines before. There's a great program called Penrose Tiler
that creates the lines, or kites and darts, etc here ==>
http://www.westmaster.com/zidek/research/
Here's a picture I did with Penrose Tiler, Illustraor and Photoshop (not
POV-Ray but, oh well) http://www.deviantart.com/view/27686652/

> And now I have a question too.  The colors are wonderful, sometimes paired
> up across an edge, and sometimes not.  How did you select them and apply
> them to the triangles?

The colors are generated randomly.
#declare R1 = seed(676);
pigment { rgb<rand(R1)*1,rand(R1)*1,rand(R1)*1> }
I'm not really sure how all the code works. I will post it if you would like
to see it.

> P.S. I have a set of macros that do Penrose Rhombs, and another that do
> Penrose Kites and Darts (more like your image).  I have found them easier
> to work with and more flexible than any other ones I've seen posted, but
> I'm probably rather biased.  The others were helpful with a few hints and a
> push to actually do it, though.  If you (or anyone else) is interested, I'll
> finish cleaning them up and post them.

I'm interested. Even if they are unclean.
Thanks, Janet

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"Janet" <par### [at] attnet> wrote:

> The colors are generated randomly.
> #declare R1 = seed(676);
> pigment { rgb<rand(R1)*1,rand(R1)*1,rand(R1)*1> }
> I'm not really sure how all the code works. I will post it if you would like
> to see it.

I was picking colors that way for a while, but I didn't remember them being
quite so bright and vibrant.  OTOH, my daughter wanted one of those images
for her desktop wallpaper and it was really bright and vibrant too, so maybe
it was similar to your colors... 8^)  I think I might go back to that again,
or at least play with it a bit more.

[ I wrote... ]
> > P.S. I have a set of macros that do Penrose Rhombs, and another that do
> > Penrose Kites and Darts (more like your image).  I have found them easier
> > to work with and more flexible than any other ones I've seen posted, but
> > I'm probably rather biased.  The others were helpful with a few hints and a
> > push to actually do it, though.  If you (or anyone else) is interested, I'll
> > finish cleaning them up and post them.
>
> I'm interested. Even if they are unclean.
> Thanks, Janet

I'll clean them up a bit, delete all the fluff and cruft, and make a demo
image or two.  Expect to see the demo images here in a day or two, and the
files in the same post or in p.b.s-f depending on how long they turn out to
be.

Jon

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A wonderful, beautiful caleidoscope out of my childhood days...

The memories make me feeling blue. Pretty creation.

Greetings,

Sven

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"Jon Buller" <jon### [at] bullersnet> wrote:
> I'll clean them up a bit, delete all the fluff and cruft, and make a demo
> image or two.  Expect to see the demo images here in a day or two, and the
> files in the same post or in p.b.s-f depending on how long they turn out to
> be.

Thank you Jon, I'll watch for the decruftified files.

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"Janet" <par### [at] attnet> wrote:

> Okay thanks, I couldn't find Conway lines anywhere on the internet. But I
> have seen these lines before. There's a great program called Penrose Tiler
> that creates the lines, or kites and darts, etc here ==>
> http://www.westmaster.com/zidek/research/

I have Penrose Tiler 2, version 3.1. Down the bottom of the View menu it has
3 options controlling Conway lines. This program was invaluable in helping
me develop the code for the pentagonal variant of the Penrose tiling.

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