Abstract
This work began as an attempt to find and catalog the mean values and temperatures of a well-defined set of relatively simple common Go positions, extending a similar but smaller catalog in Table E.10, Appendix E of the book Mathematical Go [1].
The major surprises of our present work include the following
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A position of chilled value *2 (previously unknown in Mathematical Go), shown at the end of Sect. 3.1.
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A surprisingly ”warm” position, whose temperature is routinely underestimated even by very strong Go players, shown in Sect. 4.
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More insights into decompositions.
It is hoped that these results may someday provide the basis for further new insights and generalizations.
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References
Berlekamp, E., Wolfe, D.: Mathematical Go: Chilling Gets the Last Point. AK Peters, Wellesley (1994)
Berlekamp, E., Conway, J., Guy, R.: Winning Ways for your Mathematical Plays. Academic Press, London (1982)
Guy, R., Nowakowski, R.: Unsolved problems in combinatorial games. In: Nowakowski, R. (ed.) More Games of No Chance, vol. 42, pp. 457–473. Cambridge University Press, Cambridge (2002)
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Nakamura, T., Berlekamp, E. (2003). Analysis of Composite Corridors. In: Schaeffer, J., Müller, M., Björnsson, Y. (eds) Computers and Games. CG 2002. Lecture Notes in Computer Science, vol 2883. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40031-8_15
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DOI: https://doi.org/10.1007/978-3-540-40031-8_15
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