For those of you who were interested, the results of this posting:

Thanks to Philippe for the information on the origins of this curve. I took
a look at the Truchet tiling, and it seems to be a bit simpler than the
space-filling-curve (SFC) that I submitted. I also looked into Dragon Curves
and confirmed that this is not of that classification. I was fooling around
with SFC's back in the early 80's and after so many years, my neurons are
all cross-linked between Hilbert, Sierpinsky, Peano, Dragon, etc.

This SFC is actually a simple contouring algorithm. I'd been tinkering with
this at the same time I was messing with the SFC's and subsequently merged
it in with the the other regular patterns.

In response to Bob Hughes suggestion that this has a "fractal" quality, I
have to agree. This is a fractal in the same sense that a plasma is a
fractal, i.e., the details are random, but the structure is coherent.
"Regular" SFC's such as Hilbert, Peano, etc., are recursive and predictable.

Philippe had suggested animating this, but I have to humbly admit that I
don't know how this might work. Philippe, please elaborate, se vous plez...

Last, but not least, thanks for everyone's comments and suggestions!

David Cook <nos### [at] homecom> wrote in message
news:372b2123.0@news.povray.org...
> I've always referred to this type of space-filling curve as a Dragon
Curve.
> I'm not sure if that's its true mathematical name or not. Can anyone out
> there identify this class of curves?

Post a reply to this message