John, Arlo and Ian
[Arlo]
I used the term "fractal boundary" because I think as you zoom in on the
line its not as straight as it appears. Fuzzy may be a better word. The
boundaries are areas I find quite interesting, where there is a lot more
to see than the "middle" of Pirsig's levels.
I don't think there are any fuzziness at all, it doesn't matter how much
you zoom in. I've said this a couple of times, but I'll try to show it
using another analogy.
Imagine a square being filmed exactly from the top with a camera. You
look at the picture being filmed on a TV, so what you see is a
completely flat square surface. Of course some lighting makes it show
some shadows, but it's still absolutely flat and square.
The camera zooms in on the surface and follows an edge until it finds a
corner. Then it zooms in even more but the only thing you see is that
the edges aren't completely straight, and when it zooms in some more,
they become even less straight.
Is that really relevant?
Well, yes, if you really wanted the square to be exactly square, then
yes I guess it is quite important to have really sharp edges. So you can
make the edges sharper by using a better knife or better material or
whatever. But if you repeat the procedure, you'll still see un-straight
edges if you zoom in enough.
However, what you hadn't noticed through the camera eye is that the
square wasn't really a square. The camera moves a bit outside of an edge
and then you see that the square is really a cube!
That's what I'm talking about when I talk about a new level. If you only
look at a cube from one side, you can only see that it's a square. And
if you only look at how much something weighs, you can't tell whether
it's a motorcycle or a horse.
So, if you *can* see a difference by zooming in, it's *not* a level border.
Magnus
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