Re: Number of Go positions is itself a Go position

dear David,

> To quote from: http://tromp.github.io/go/legal.html
>
> It should come as no surprise that L19, viewed as a position, is itself
> illegal.
>
> In this absolute form this statement got disproved in my German Go Forum
> article at
> http://www.dgob.de/yabbse/index.php?topic=5935.msg216064#msg216064

My form is not as absolute as you make it out to be. The absolute form would be:

It should come as no surprise that L19, mapped to a position by laying
out the 361 consecutive
trits to a path on the 19x19 grid, and choosing which trit represents
empty, is itself illegal.

That would indeed be a ridiculous claim:-)

> Basically it's using a more natural Hilbert-based curve instead of an
> arbitrary row-wise mapping which doesn't take the topology of the Go-grid
> into account. Let me now if you need any of the details in German
> translated.

The fact that you can describe my mapping simply as "row-wise" shows how it
is quite non-arbitrary. Your Hilbert curve on the contrary can hardly
be described
in a much simpler way than in its full explicit form, betraying its
arbitrariness...

Trotzdem, gratuliere zu deinem legale Kurve!

kind regards,
-John
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