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Jan 22, 2009, 6:16:58 PM1/22/09

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"Josh Purinton" <josh.p...@gmail.com> wrote to suggest that

the neo-Glop-notation position 0.AB/0.0.0.AB.CD.EF/0.CD/0.0.EF be

written in pivot/loop notation as 1L3(L1)(L2).

the neo-Glop-notation position 0.AB/0.0.0.AB.CD.EF/0.CD/0.0.EF be

written in pivot/loop notation as 1L3(L1)(L2).

I have a slightly different suggestion: that the position be written

1L3((L1))((L2)). Why the extra parentheses? Because then we can

add Glop notation to pivot/loop notation by writing it inside single

parentheses, AND we can add pivot/loop notation to Glop notation by

writing it inside single parentheses. The double parenthesis notation

is a simple consequence of the two abbreviations.

So we have the well-known equality ...P0P0 = ...P1 . This could also

be written ...P(2) = ...P(0). In this way the pivot/loop notation

becomes completely as expressive as Glop notation. And we can write

Glop positions like 0.0.0.0.0.0.AB/0.0.0.1<1>.2.AB as (6LA5(2)).

By the way, today I proved the equality ...L(2) = ...L(0). This may

be a much more useful equality, since it can cut down the size of a

game tree right at the root. As with the other equality, it holds in

both normal and misere play.

Dan

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