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Bill Hails <me### [at] billhails net> wrote:
> PM 2Ring wrote:
> > That golden rectangle idea is intriguing. Somebody here uses the golden
> > ratio for pseudorandom placement of plants, etc.
> >
>
> My use of it is much simpler, as a compositional aid. Perhaps I should
> explain it a bit more (or perhaps not, but I'm going to anyway :-)
I'd expect that most people like we POVers who enjoy making pictures
mathematically, know a bit about Fibonacci numbers and the golden ratio,
but you never know.
> A golden rectangle has the unique property that if you cut a square
> off of it, then the remaining shape is also a golden rectangle, and you
> can repeat the cutting. So in my pic each object is centred on one
> of those squares: The pot first, then the full cup, then the empty cup,
> then the tea stain.
Yes, I saw it as soon as you mentioned golden rectangles. I've done lots of
graphics involving Fibonacci numbers and spirals. I even wrote a routine to
wrap text in a proportional font onto an exponential spiral (in PostScript;
what an experience :). So I've spent plenty of time looking at such spiral
arrangements... Also, partial Fibonacci spirals arise in Penrose tilings,
which I've spent a bit of time playing with in several languages, including
POV, of course.
> I don't see any point in obfuscating the idea, since it was deliberate,
> and the result does have a sort of balance to it.
I like the the aesthetics of the golden section, but I don't think that it
is necessarily all that more beautiful than other ratios.
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