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Subject: EinStein wuerfelt nicht -- Monte Carlo runs

Author: Ingo Althofer

Date: 21:45:52 03/06/05

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On March 05, 2005 at 13:47:31, Theo van der Storm wrote:
>On March 05, 2005 at 13:20:43, Ingo Althofer wrote:
>>Either this way - with a book- or a newspaper-wall across the diagonal
>>of the board - or player2 makes his setup and player1 has to copy
>>it, turned by 180 degree.
>
>Why turned?
>Why not mirrored like chess?

Over night I performed some Monte-Carlo runs
(with the heuristic by Stefan Schwarz).

Starting position (from the challenge game)
x1 x6 x3 -- --
x5 x2 -- -- --
x4 -- -- -- y2
-- -- -- y3 y1
-- -- y4 y6 y5
X to start;
score after 50,000 games: 24,952 - 25,048


Starting position (my setup with 180 degree symmetry)
x1 x6 x3 -- --
x5 x2 -- -- --
x4 -- -- -- y4
-- -- -- y2 y5
-- -- y3 y6 y1
X to start;
score after 50,000 games: 25,077 - 24,923

Starting position (my setup with mirror symmetry)
x1 x6 x3 -- --
x5 x2 -- -- --
x4 -- -- -- y3
-- -- -- y2 y6
-- -- y4 y5 y1
X to start;
score after 50,000 games: 25,165 - 24,835

So, within standard deviation, all the results are the same.
Ingo.

PS: In another series I will test Theo's setup versus it's
symmetries.



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